CSE_E---1.7.THM-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWW208+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 : n003.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 05:29:47 PM UTC 2026

% Result   : Theorem 8.49s 5.80s
% Output   : CNFRefutation 63.16s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_Im__cis,axiom,
    ! [X8] : hAPP(c_Complex_OIm,c_Complex_Ocis(X8)) = c_Transcendental_Osin(X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im__cis) ).

fof(fact_cis__rcis__eq,axiom,
    ! [X8] : c_Complex_Ocis(X8) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cis__rcis__eq) ).

fof(fact_Re__cis,axiom,
    ! [X8] : hAPP(c_Complex_ORe,c_Complex_Ocis(X8)) = c_Transcendental_Ocos(X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re__cis) ).

fof(fact_div__if,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
         => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
        & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
         => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__if) ).

fof(fact_div__geq,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
       => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__geq) ).

fof(fact_not__less__eq__eq,axiom,
    ! [X30,X31] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X30)),X31)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__eq__eq) ).

fof(fact_Suc__n__not__le__n,axiom,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X25)),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__n__not__le__n) ).

fof(fact_le__SucE,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),c_Nat_OSuc(X25)))
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
       => X29 = c_Nat_OSuc(X25) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__SucE) ).

fof(fact_not__less__eq,axiom,
    ! [X30,X31] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X31))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__eq) ).

fof(fact_not__less__less__Suc__eq,axiom,
    ! [X31,X30] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X31))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X31)))
      <=> X30 = X31 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__less__Suc__eq) ).

fof(fact_less__antisym,axiom,
    ! [X29,X25] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X29))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Nat_OSuc(X29)))
       => X29 = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__antisym) ).

fof(fact_less__SucE,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Nat_OSuc(X25)))
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
       => X29 = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__SucE) ).

fof(fact__096_B_Bthesis_O_A_I_B_Bg_O_A_091_124_Asubseq_Ag_059_Amonoseq_A_I_Fn_O_AIm_A_Is_A_If_A_Ig_An_J_J_J_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,
    ~ ! [X51] :
        ( c_SEQ_Osubseq(X51)
       => ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,X51)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_Bthesis_O_A_I_B_Bg_O_A_091_124_Asubseq_Ag_059_Amonoseq_A_I_Fn_O_AIm_A_Is_A_If_A_Ig_An_J_J_J_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) ).

fof(conj_0,conjecture,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    & ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X4)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(fact_lemma__NBseq__def2,axiom,
    ! [X52,X24] :
      ( class_RealVector_Oreal__normed__vector(X24)
     => ( ? [X57] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
            & ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X24,hAPP(X52,X4))),X57)) )
      <=> ? [X63] :
          ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X24,hAPP(X52,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X63)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__NBseq__def2) ).

fof(fact_Suc__eq__plus1,axiom,
    ! [X25] : c_Nat_OSuc(X25) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).

fof(fact_lemma__NBseq__def,axiom,
    ! [X52,X24] :
      ( class_RealVector_Oreal__normed__vector(X24)
     => ( ? [X57] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
            & ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X24,hAPP(X52,X4))),X57)) )
      <=> ? [X63] :
          ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X24,hAPP(X52,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X63)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__NBseq__def) ).

fof(fact_Suc__mult__less__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X33)),X31)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X33)),X30)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__mult__less__cancel1) ).

fof(fact_Suc__mult__le__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X33)),X31)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X33)),X30)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__mult__le__cancel1) ).

fof(fact_not__sum__squares__lt__zero,axiom,
    ! [X14,X5,X6] :
      ( class_Rings_Olinordered__ring(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X14),X14))),c_Groups_Ozero__class_Ozero(X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__sum__squares__lt__zero) ).

fof(fact_Bseq__iff1a,axiom,
    ! [X52,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_SEQ_OBseq(X6,X52)
      <=> ? [X63] :
          ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(X52,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X63)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bseq__iff1a) ).

fof(fact_Bseq__iff,axiom,
    ! [X52,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_SEQ_OBseq(X6,X52)
      <=> ? [X63] :
          ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(X52,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X63)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bseq__iff) ).

fof(fact_reals__Archimedean4,axiom,
    ! [X5,X14] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X14))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
       => ? [X4] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4)),X14)),X5))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4))),X14))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_reals__Archimedean4) ).

fof(fact_power__le__imp__le__base,axiom,
    ! [X7,X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Nat_OSuc(X25))),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),c_Nat_OSuc(X25))))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__le__imp__le__base) ).

fof(fact_monoseq__Suc,axiom,
    ! [X52,X6] :
      ( class_Orderings_Oorder(X6)
     => ( c_SEQ_Omonoseq(X6,X52)
      <=> ( ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(X52,X4)),hAPP(X52,c_Nat_OSuc(X4))))
          | ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(X52,c_Nat_OSuc(X4))),hAPP(X52,X4))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_monoseq__Suc) ).

fof(fact_split__div_H,axiom,
    ! [X30,X31,X39] :
      ( hBOOL(hAPP(X39,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X31,X30)))
    <=> ( ( X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
          & hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
        | ? [X97] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X97)),X31))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),c_Nat_OSuc(X97))))
            & hBOOL(hAPP(X39,X97)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_split__div_H) ).

fof(fact_realpow__two__diff,axiom,
    ! [X14,X5,X6] :
      ( class_Rings_Ocomm__ring__1(X6)
     => c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X14),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X5,X14)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X5),X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__two__diff) ).

fof(fact_one__less__mult,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X29))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__less__mult) ).

fof(fact_one__le__mult__iff,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X30)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X31))
        & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__le__mult__iff) ).

fof(fact_cos__diff,axiom,
    ! [X14,X5] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5)),c_Transcendental_Ocos(X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5)),c_Transcendental_Osin(X14))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__diff) ).

fof(fact_cos__diff2,axiom,
    ! [X14,X5] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X14)),c_Transcendental_Ocos(X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X14)),c_Transcendental_Osin(X5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__diff2) ).

fof(fact_sin__add,axiom,
    ! [X14,X5] : c_Transcendental_Osin(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5)),c_Transcendental_Ocos(X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5)),c_Transcendental_Osin(X14))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sin__add) ).

fof(fact_split__div__lemma,axiom,
    ! [X31,X98,X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X30))
     => ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X98)),X31))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),c_Nat_OSuc(X98)))) )
      <=> X98 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X31,X30) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_split__div__lemma) ).

fof(fact_sin__cos__squared__add3,axiom,
    ! [X5] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5)),c_Transcendental_Ocos(X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5)),c_Transcendental_Osin(X5))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sin__cos__squared__add3) ).

fof(fact_n__less__n__mult__m,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X29))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X29))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__less__n__mult__m) ).

fof(fact_n__less__m__mult__n,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X29))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__less__m__mult__n) ).

fof(fact_nat__lt__two__imp__zero__or__one,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))
     => ( X5 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X5 = 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_power__Suc__less__one,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),c_Groups_Oone__class_Oone(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Nat_OSuc(X25))),c_Groups_Oone__class_Oone(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc__less__one) ).

fof(fact_realpow__Suc__le__self,axiom,
    ! [X25,X23,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X23))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X23),c_Groups_Oone__class_Oone(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X23),c_Nat_OSuc(X25))),X23)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__Suc__le__self) ).

fof(fact_sin__diff2,axiom,
    ! [X14,X5] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X14)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X14)),c_Transcendental_Osin(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X14)),c_Transcendental_Ocos(X5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sin__diff2) ).

fof(fact_sin__diff,axiom,
    ! [X14,X5] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X14)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5)),c_Transcendental_Ocos(X14)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5)),c_Transcendental_Osin(X14))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sin__diff) ).

fof(fact_cos__add,axiom,
    ! [X14,X5] : c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5),X14)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5)),c_Transcendental_Ocos(X14)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5)),c_Transcendental_Osin(X14))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__add) ).

fof(fact_nat__one__le__power,axiom,
    ! [X25,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X19))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X19),X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__one__le__power) ).

fof(fact_cis__real__of__nat__Suc__mult,axiom,
    ! [X8,X25] : c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X25))),X8)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X8)),c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),X8))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cis__real__of__nat__Suc__mult) ).

fof(fact_diff__Suc__less,axiom,
    ! [X19,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,c_Nat_OSuc(X19))),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__less) ).

fof(fact_abs__add__one__not__less__self,axiom,
    ! [X5] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__one__not__less__self) ).

fof(fact_subseq__Suc__iff,axiom,
    ! [X2] :
      ( c_SEQ_Osubseq(X2)
    <=> ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X4)),hAPP(X2,c_Nat_OSuc(X4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subseq__Suc__iff) ).

fof(fact_add__eq__if,axiom,
    ! [X25,X29] :
      ( ( X29 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25) = X25 )
      & ( X29 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__if) ).

fof(fact_lemma__realpow__diff,axiom,
    ! [X14,X25,X65,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X65),X25))
       => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X14),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X25),X65)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X14),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,X65))),X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__realpow__diff) ).

fof(fact_Suc__less__eq,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X31)),c_Nat_OSuc(X30)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__less__eq) ).

fof(fact_Suc__less__SucD,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X29)),c_Nat_OSuc(X25)))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__less__SucD) ).

fof(fact_Suc__le__mono,axiom,
    ! [X31,X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X30)),c_Nat_OSuc(X31)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X31)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__le__mono) ).

fof(fact_less__add__Suc1,axiom,
    ! [X29,X19] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X29)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__Suc1) ).

fof(fact_less__add__Suc2,axiom,
    ! [X29,X19] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X19)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__Suc2) ).

fof(fact_le__div__geq,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X29))
       => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__div__geq) ).

fof(fact_divmod__int__rel__div__eq,axiom,
    ! [X90,X14,X91,X92] :
      ( X92 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X91),X14)),X90)
     => ( ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X91))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X90))
              & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X90),X91)) ) )
          & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X91))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X91),X90))
              & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X90),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
       => ( X91 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
         => c_Divides_Odiv__class_Odiv(tc_Int_Oint,X92,X91) = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divmod__int__rel__div__eq) ).

fof(fact_diff__Suc__diff__eq2,axiom,
    ! [X29,X18,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X18))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X17)),X29) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X18),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),X29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__diff__eq2) ).

fof(fact_diff__Suc__diff__eq1,axiom,
    ! [X29,X18,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X18))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X17))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X17),c_Nat_OSuc(X18)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__diff__eq1) ).

fof(fact_power_Opower_Opower__Suc,axiom,
    ! [X30,X10,X75,X76,X6] : hAPP(hAPP(c_Power_Opower_Opower(X6,X76,X75),X10),c_Nat_OSuc(X30)) = hAPP(hAPP(X75,X10),hAPP(hAPP(c_Power_Opower_Opower(X6,X76,X75),X10),X30)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power_Opower_Opower__Suc) ).

fof(fact_power__gt1,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X8))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Nat_OSuc(X25)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__gt1) ).

fof(fact_abs__cos__le__one,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X5))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__cos__le__one) ).

fof(fact_abs__sin__le__one,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Osin(X5))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__sin__le__one) ).

fof(fact_Suc__pred,axiom,
    ! [X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__pred) ).

fof(fact_power__inject__base,axiom,
    ! [X7,X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Nat_OSuc(X25)) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),c_Nat_OSuc(X25))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
           => X8 = X7 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__inject__base) ).

fof(fact_Suc__lessD,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X29)),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__lessD) ).

fof(fact_Suc__le__lessD,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X29)),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__le__lessD) ).

fof(fact_Suc__le__eq,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X31)),X30))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__le__eq) ).

fof(fact_less__eq__Suc__le,axiom,
    ! [X31,X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X31))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X30)),X31)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__Suc__le) ).

fof(fact_Suc__leD,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X29)),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__leD) ).

fof(fact_not__square__less__zero,axiom,
    ! [X8,X6] :
      ( class_Rings_Olinordered__ring(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X8)),c_Groups_Ozero__class_Ozero(X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__square__less__zero) ).

fof(fact_int__power__div__base,axiom,
    ! [X17,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X17))
       => c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X17),X29),X17) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X17),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_int__power__div__base) ).

fof(fact_Suc__mono,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X29)),c_Nat_OSuc(X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__mono) ).

fof(fact_add__leE,axiom,
    ! [X25,X17,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X17)),X25))
     => ~ ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
         => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__leE) ).

fof(fact_Suc__mult__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X33)),X31) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X33)),X30)
    <=> X31 = X30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__mult__cancel1) ).

fof(fact_reals__Archimedean6a,axiom,
    ! [X23] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X23))
     => ? [X4] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4)),X23))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X23),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_reals__Archimedean6a) ).

fof(fact_less__trans__Suc,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18),X17))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X19)),X17)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__trans__Suc) ).

fof(fact_nat__diff__split__asm,axiom,
    ! [X16,X10,X39] :
      ( hBOOL(hAPP(X39,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X10,X16)))
    <=> ~ ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10),X16))
            & ~ hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
          | ? [X87] :
              ( X10 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16),X87)
              & ~ hBOOL(hAPP(X39,X87)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__diff__split__asm) ).

fof(fact_not__add__less1,axiom,
    ! [X18,X19] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)),X19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__add__less1) ).

fof(fact_not__add__less2,axiom,
    ! [X19,X18] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X19)),X19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__add__less2) ).

fof(fact_diff__less__Suc,axiom,
    ! [X25,X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)),c_Nat_OSuc(X29))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__less__Suc) ).

fof(fact_less__fun__def,axiom,
    ! [X1,X2,X6,X24] :
      ( class_Orderings_Oord(X24)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X6,X24),X2),X1))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X24),X2),X1))
          & ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X24),X1),X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__fun__def) ).

fof(fact_cos__n__Re__cis__pow__n,axiom,
    ! [X8,X25] : c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),X8)) = hAPP(c_Complex_ORe,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X8)),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__n__Re__cis__pow__n) ).

fof(fact_sin__n__Im__cis__pow__n,axiom,
    ! [X8,X25] : c_Transcendental_Osin(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),X8)) = hAPP(c_Complex_OIm,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X8)),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sin__n__Im__cis__pow__n) ).

fof(fact_Suc__lessI,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => ( c_Nat_OSuc(X29) != X25
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X29)),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__lessI) ).

fof(fact_less__Suc__eq__0__disj,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),c_Nat_OSuc(X30)))
    <=> ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ? [X70] :
            ( X31 = c_Nat_OSuc(X70)
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X70),X30)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc__eq__0__disj) ).

fof(fact_Suc__diff__diff,axiom,
    ! [X17,X25,X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X29),X25),c_Nat_OSuc(X17)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),X17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__diff__diff) ).

fof(fact_Suc__leI,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X29)),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__leI) ).

fof(fact_le__Suc__eq,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),c_Nat_OSuc(X30)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30))
        | X31 = c_Nat_OSuc(X30) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__Suc__eq) ).

fof(fact_le__less__Suc__eq,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X31)))
      <=> X30 = X31 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__less__Suc__eq) ).

fof(fact_Suc__diff__le,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X29))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X29),X25) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__diff__le) ).

fof(fact_real__of__nat__Suc__gt__zero,axiom,
    ! [X25] : hBOOL(hAPP(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(X25)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__Suc__gt__zero) ).

fof(fact_ex__least__nat__less,axiom,
    ! [X30,X39] :
      ( ~ hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
     => ( hBOOL(hAPP(X39,X30))
       => ? [X32] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X32),X30))
            & ! [X60] :
                ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X60),X32))
               => ~ hBOOL(hAPP(X39,X60)) )
            & hBOOL(hAPP(X39,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X32),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ex__least__nat__less) ).

fof(fact_less__Suc__eq,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),c_Nat_OSuc(X30)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30))
        | X31 = X30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc__eq) ).

fof(fact_less__Suc__eq__le,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),c_Nat_OSuc(X30)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc__eq__le) ).

fof(fact_add__Suc,axiom,
    ! [X25,X29] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X29)),X25) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc) ).

fof(fact_less__Suc0,axiom,
    ! [X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
    <=> X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc0) ).

fof(fact_less__iff__Suc__add,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30))
    <=> ? [X32] : X30 = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X32)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__iff__Suc__add) ).

fof(fact_cos__le__one,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Ocos(X5)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__le__one) ).

fof(fact_sin__le__one,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Osin(X5)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sin__le__one) ).

fof(fact_split__zdiv,axiom,
    ! [X33,X30,X39] :
      ( hBOOL(hAPP(X39,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X30,X33)))
    <=> ( ( X33 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
         => hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
        & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X33))
         => ! [X60] :
              ( ? [X70] :
                  ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X70))
                  & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X70),X33))
                  & X30 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X33),X60)),X70) )
             => hBOOL(hAPP(X39,X60)) ) )
        & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
         => ! [X60] :
              ( ? [X70] :
                  ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),X70))
                  & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X70),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
                  & X30 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X33),X60)),X70) )
             => hBOOL(hAPP(X39,X60)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_split__zdiv) ).

fof(fact_not__real__square__gt__zero,axiom,
    ! [X13] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_power__Suc2,axiom,
    ! [X25,X8,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Nat_OSuc(X25)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc2) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
    ! [X64,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X64)),X5) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),c_Nat_OSuc(X64)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J) ).

fof(fact_Suc__diff__1,axiom,
    ! [X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__diff__1) ).

fof(fact_Suc__pred_H,axiom,
    ! [X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => X25 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__pred_H) ).

fof(fact_cmod__unit__one,axiom,
    ! [X8] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X8),c_Transcendental_Osin(X8))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cmod__unit__one) ).

fof(fact_less__SucI,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Nat_OSuc(X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__SucI) ).

fof(fact_le__imp__less__Suc,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Nat_OSuc(X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__imp__less__Suc) ).

fof(fact_le__SucI,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),c_Nat_OSuc(X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__SucI) ).

fof(fact_add__Suc__shift,axiom,
    ! [X25,X29] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X29)),X25) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),c_Nat_OSuc(X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__shift) ).

fof(fact_mult__Suc,axiom,
    ! [X25,X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X29)),X25) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__Suc) ).

fof(fact_add__Suc__right,axiom,
    ! [X25,X29] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),c_Nat_OSuc(X25)) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__right) ).

fof(fact_realpow__pos__nth2,axiom,
    ! [X25,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X8))
     => ? [X82] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X82))
          & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X82),c_Nat_OSuc(X25)) = X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__pos__nth2) ).

fof(fact_cos__arccos__abs,axiom,
    ! [X14] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X14)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
     => c_Transcendental_Ocos(c_Transcendental_Oarccos(X14)) = X14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__arccos__abs) ).

fof(fact_cos__arg__i__mult__zero__pos,axiom,
    ! [X14] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X14))
     => c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X14))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__arg__i__mult__zero__pos) ).

fof(fact_abs__not__less__zero,axiom,
    ! [X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Ozero__class_Ozero(X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__not__less__zero) ).

fof(fact_power__Suc__0,axiom,
    ! [X25] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X25) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc__0) ).

fof(fact_cos__arg__i__mult__zero__neg,axiom,
    ! [X14] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
     => c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X14))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__arg__i__mult__zero__neg) ).

fof(fact_diff__Suc__eq__diff__pred,axiom,
    ! [X25,X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Nat_OSuc(X25)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__eq__diff__pred) ).

fof(fact_power__Suc,axiom,
    ! [X25,X8,X6] :
      ( class_Power_Opower(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Nat_OSuc(X25)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
    ! [X64,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),c_Nat_OSuc(X64)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X64)) ),
    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_I27_J,axiom,
    ! [X64,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X64)) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),c_Nat_OSuc(X64)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J) ).

fof(fact_DeMoivre,axiom,
    ! [X25,X8] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X8)),X25) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),X8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_DeMoivre) ).

fof(fact_less__le__not__le,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
          & ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X21),X13)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__le__not__le) ).

fof(fact_norm__not__less__zero,axiom,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X5)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__not__less__zero) ).

fof(fact_diff__Suc__Suc,axiom,
    ! [X25,X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X29),c_Nat_OSuc(X25)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__Suc) ).

fof(fact_zero__less__Suc,axiom,
    ! [X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_OSuc(X25))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__Suc) ).

fof(fact_mult__eq__1__iff,axiom,
    ! [X30,X31] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X30) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    <=> ( X31 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        & X30 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__eq__1__iff) ).

fof(fact_mult__Suc__right,axiom,
    ! [X25,X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),c_Nat_OSuc(X25)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__Suc__right) ).

fof(fact_not__real__of__nat__less__zero,axiom,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X25)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__real__of__nat__less__zero) ).

fof(fact_one__is__add,axiom,
    ! [X30,X31] :
      ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X30)
    <=> ( ( X31 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
          & X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
        | ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
          & X30 = 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,
    ! [X30,X31] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X30) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    <=> ( ( X31 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
          & X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
        | ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
          & X30 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__is__1) ).

fof(fact_linorder__antisym__conv2,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
       => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__antisym__conv2) ).

fof(fact_lessI,axiom,
    ! [X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Nat_OSuc(X25))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lessI) ).

fof(fact_xt1_I9_J,axiom,
    ! [X8,X7,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X8))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I9_J) ).

fof(fact_not__less__iff__gr__or__eq,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X21),X13))
          | X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__iff__gr__or__eq) ).

fof(fact_leD,axiom,
    ! [X5,X14,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_leD) ).

fof(fact_linorder__not__less,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X21),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__not__less) ).

fof(fact_linorder__not__le,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X21),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__not__le) ).

fof(fact_order__less__asym,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__asym) ).

fof(fact_order__less__asym_H,axiom,
    ! [X7,X8,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X8)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__asym_H) ).

fof(fact_order__less__imp__not__less,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__not__less) ).

fof(fact_order__less__not__sym,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__not__sym) ).

fof(fact_cis__divide,axiom,
    ! [X7,X8] : hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Ocis(X8)),c_Complex_Ocis(X7)) = c_Complex_Ocis(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X8,X7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cis__divide) ).

fof(fact_cis__mult,axiom,
    ! [X7,X8] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X8)),c_Complex_Ocis(X7)) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X8),X7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cis__mult) ).

fof(fact_add__diff__inverse,axiom,
    ! [X25,X29] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)) = X29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__inverse) ).

fof(fact_linorder__antisym__conv1,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__antisym__conv1) ).

fof(fact_nat__power__eq__Suc__0__iff,axiom,
    ! [X31,X13] :
      ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X13),X31) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    <=> ( X31 = 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_cis__def,axiom,
    ! [X8] : c_Complex_Ocis(X8) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X8),c_Transcendental_Osin(X8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cis__def) ).

fof(fact_real__of__nat__Suc,axiom,
    ! [X25] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X25)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__Suc) ).

fof(fact_gr0__conv__Suc,axiom,
    ! [X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X30))
    <=> ? [X53] : X30 = c_Nat_OSuc(X53) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gr0__conv__Suc) ).

fof(fact_not__one__less__zero,axiom,
    ! [X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),c_Groups_Ozero__class_Ozero(X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__one__less__zero) ).

fof(fact_not__one__le__zero,axiom,
    ! [X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oone__class_Oone(X6)),c_Groups_Ozero__class_Ozero(X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__one__le__zero) ).

fof(fact_cos__arg__i__mult__zero,axiom,
    ! [X14] :
      ( X14 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
     => c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X14))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__arg__i__mult__zero) ).

fof(fact_tsub__def,axiom,
    ! [X5,X14] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14),X5))
       => c_Nat__Transfer_Otsub(X5,X14) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5,X14) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14),X5))
       => c_Nat__Transfer_Otsub(X5,X14) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_tsub__def) ).

fof(fact_power__0__Suc,axiom,
    ! [X25,X6] :
      ( ( class_Power_Opower(X6)
        & class_Rings_Osemiring__0(X6) )
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),c_Groups_Ozero__class_Ozero(X6)),c_Nat_OSuc(X25)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__0__Suc) ).

fof(fact_sin__zero__abs__cos__one,axiom,
    ! [X5] :
      ( c_Transcendental_Osin(X5) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
     => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X5)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sin__zero__abs__cos__one) ).

fof(fact_linorder__cases,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ( X5 != X14
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__cases) ).

fof(fact_linorder__neqE,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( X5 != X14
       => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE) ).

fof(fact_linorder__antisym__conv3,axiom,
    ! [X13,X21,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X21),X13))
       => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__antisym__conv3) ).

fof(fact_linorder__neqE__linordered__idom,axiom,
    ! [X14,X5,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( X5 != X14
       => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE__linordered__idom) ).

fof(fact_not__leE,axiom,
    ! [X5,X14,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__leE) ).

fof(fact_leI,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_leI) ).

fof(fact_linorder__le__cases,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__le__cases) ).

fof(fact_Re__rcis,axiom,
    ! [X8,X23] : hAPP(c_Complex_ORe,c_Complex_Orcis(X23,X8)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),c_Transcendental_Ocos(X8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re__rcis) ).

fof(fact_Im__rcis,axiom,
    ! [X8,X23] : hAPP(c_Complex_OIm,c_Complex_Orcis(X23,X8)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),c_Transcendental_Osin(X8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im__rcis) ).

fof(fact_div__1,axiom,
    ! [X29] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__1) ).

fof(fact_Suc__inject,axiom,
    ! [X14,X5] :
      ( c_Nat_OSuc(X5) = c_Nat_OSuc(X14)
     => X5 = X14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__inject) ).

fof(fact_nat_Oinject,axiom,
    ! [X66,X67] :
      ( c_Nat_OSuc(X67) = c_Nat_OSuc(X66)
    <=> X67 = X66 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat_Oinject) ).

fof(fact_linorder__neqE__nat,axiom,
    ! [X14,X5] :
      ( X5 != X14
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE__nat) ).

fof(fact_diff__Suc__1,axiom,
    ! [X25] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X25),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__Suc__1) ).

fof(fact_order__less__irrefl,axiom,
    ! [X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__irrefl) ).

fof(fact_not__less0,axiom,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less0) ).

fof(fact_less__nat__zero__code,axiom,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__nat__zero__code) ).

fof(fact_less__zeroE,axiom,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__zeroE) ).

fof(fact_cos__one__sin__zero,axiom,
    ! [X5] :
      ( c_Transcendental_Ocos(X5) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
     => c_Transcendental_Osin(X5) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__one__sin__zero) ).

fof(fact_less__eq__Suc__le__raw,axiom,
    ! [X30] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X30)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__Suc__le__raw) ).

fof(fact_less__not__refl,axiom,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__not__refl) ).

fof(fact_less__irrefl__nat,axiom,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__irrefl__nat) ).

fof(fact_Suc__eq__plus1__left,axiom,
    ! [X25] : c_Nat_OSuc(X25) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).

fof(fact_Suc__not__Zero,axiom,
    ! [X29] : c_Nat_OSuc(X29) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__not__Zero) ).

fof(fact_nat_Osimps_I3_J,axiom,
    ! [X68] : c_Nat_OSuc(X68) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat_Osimps_I3_J) ).

fof(fact_Suc__neq__Zero,axiom,
    ! [X29] : c_Nat_OSuc(X29) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__neq__Zero) ).

fof(fact_Zero__not__Suc,axiom,
    ! [X29] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).

fof(fact_nat_Osimps_I2_J,axiom,
    ! [X69] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X69),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat_Osimps_I2_J) ).

fof(fact_Zero__neq__Suc,axiom,
    ! [X29] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__neq__Suc) ).

fof(fact_Suc__n__not__n,axiom,
    ! [X25] : c_Nat_OSuc(X25) != X25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__n__not__n) ).

fof(fact_n__not__Suc__n,axiom,
    ! [X25] : X25 != c_Nat_OSuc(X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).

fof(fact_decr__lemma,axiom,
    ! [X11,X5,X20] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X20))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5,X11))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X20))),X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_decr__lemma) ).

fof(fact_lemmaCauchy,axiom,
    ! [X52,X89,X6,X24] :
      ( ( class_RealVector_Oreal__normed__vector(X24)
        & class_Orderings_Oord(X6) )
     => ( ! [X4] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X89),X4))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X24,c_Groups_Ominus__class_Ominus(X24,hAPP(X52,X89),hAPP(X52,X4)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )
       => ! [X4] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X89),X4))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X24,hAPP(X52,X4))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X24,hAPP(X52,X89))))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemmaCauchy) ).

fof(fact_less__add__iff1,axiom,
    ! [X43,X16,X15,X83,X10,X6] :
      ( class_Rings_Oordered__ring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X83)),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X83)),X43)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X10,X16)),X83)),X15)),X43)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__iff1) ).

fof(fact_le__add__iff1,axiom,
    ! [X43,X16,X15,X83,X10,X6] :
      ( class_Rings_Oordered__ring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X83)),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X83)),X43)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X10,X16)),X83)),X15)),X43)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add__iff1) ).

fof(fact_incr__lemma,axiom,
    ! [X5,X11,X20] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X20))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X11),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5,X11))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X20)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_incr__lemma) ).

fof(fact_nat__less__add__iff1,axiom,
    ! [X30,X31,X88,X84,X85] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X85),X84))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X85),X88)),X30)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X84,X85)),X88)),X31)),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__less__add__iff1) ).

fof(fact_nat__le__add__iff1,axiom,
    ! [X30,X31,X88,X84,X85] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X85),X84))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X85),X88)),X30)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X84,X85)),X88)),X31)),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__le__add__iff1) ).

fof(fact_BseqI2_H,axiom,
    ! [X61,X52,X62,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( ! [X4] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X62),X4))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(X52,X4))),X61)) )
       => c_SEQ_OBseq(X6,X52) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_BseqI2_H) ).

fof(fact_Bseq__offset,axiom,
    ! [X33,X52,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_SEQ_OBseq(X6,c_COMBB(tc_Nat_Onat,X6,tc_Nat_Onat,X52,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33)))
       => c_SEQ_OBseq(X6,X52) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bseq__offset) ).

fof(fact_less__add__iff2,axiom,
    ! [X43,X16,X15,X83,X10,X6] :
      ( class_Rings_Oordered__ring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X83)),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X83)),X43)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X15),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X16,X10)),X83)),X43))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__iff2) ).

fof(fact_le__add__iff2,axiom,
    ! [X43,X16,X15,X83,X10,X6] :
      ( class_Rings_Oordered__ring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X83)),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X83)),X43)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X15),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X16,X10)),X83)),X43))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add__iff2) ).

fof(fact_le__fun__def,axiom,
    ! [X1,X2,X6,X24] :
      ( class_Orderings_Oord(X24)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X24),X2),X1))
      <=> ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X24,hAPP(X2,X3)),hAPP(X1,X3))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__fun__def) ).

fof(fact_nat__less__add__iff2,axiom,
    ! [X30,X31,X88,X85,X84] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),X85))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X85),X88)),X30)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X85,X84)),X88)),X30))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__less__add__iff2) ).

fof(fact_nat__le__add__iff2,axiom,
    ! [X30,X31,X88,X85,X84] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),X85))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X85),X88)),X30)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X85,X84)),X88)),X30))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__le__add__iff2) ).

fof(fact_lemma__MVT,axiom,
    ! [X16,X10,X2] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X10),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X16),hAPP(X2,X10))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X16,X10))),X10)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X16),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X16),hAPP(X2,X10))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X16,X10))),X16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__MVT) ).

fof(fact_mult_Oprod__diff__prod,axiom,
    ! [X7,X8,X14,X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X5,X8)),c_Groups_Ominus__class_Ominus(X6,X14,X7))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X5,X8)),X7))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),c_Groups_Ominus__class_Ominus(X6,X14,X7))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Oprod__diff__prod) ).

fof(fact_reduce__poly__simple,axiom,
    ! [X25,X7] :
      ( X7 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
     => ( X25 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => ? [X72] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X7),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X72),X25))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_reduce__poly__simple) ).

fof(fact_mult_Oconvergent,axiom,
    ! [X56,X52,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ( c_SEQ_Oconvergent(X6,X52)
       => ( c_SEQ_Oconvergent(X6,X56)
         => c_SEQ_Oconvergent(X6,c_COMBS(tc_Nat_Onat,X6,X6,c_COMBB(X6,tc_fun(X6,X6),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X6),X52),X56)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Oconvergent) ).

fof(fact_convergent__add,axiom,
    ! [X56,X52,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_SEQ_Oconvergent(X6,X52)
       => ( c_SEQ_Oconvergent(X6,X56)
         => c_SEQ_Oconvergent(X6,c_COMBS(tc_Nat_Onat,X6,X6,c_COMBB(X6,tc_fun(X6,X6),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X6),X52),X56)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_convergent__add) ).

fof(fact_abs__diff__triangle__ineq,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X20)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X8,X9))),c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X7,X20))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__diff__triangle__ineq) ).

fof(fact_divide_Oconvergent,axiom,
    ! [X21,X52,X6] :
      ( class_RealVector_Oreal__normed__field(X6)
     => ( c_SEQ_Oconvergent(X6,X52)
       => c_SEQ_Oconvergent(X6,c_COMBC(tc_Nat_Onat,X6,X6,c_COMBB(X6,tc_fun(X6,X6),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(X6),X52),X21)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide_Oconvergent) ).

fof(fact_mult__left_Oconvergent,axiom,
    ! [X21,X52,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ( c_SEQ_Oconvergent(X6,X52)
       => c_SEQ_Oconvergent(X6,c_COMBC(tc_Nat_Onat,X6,X6,c_COMBB(X6,tc_fun(X6,X6),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X6),X52),X21)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Oconvergent) ).

fof(fact_norm__diff__triangle__ineq,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X20)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ominus__class_Ominus(X6,X8,X9))),c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ominus__class_Ominus(X6,X7,X20))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__diff__triangle__ineq) ).

fof(fact_Bseq__ignore__initial__segment,axiom,
    ! [X33,X52,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_SEQ_OBseq(X6,X52)
       => c_SEQ_OBseq(X6,c_COMBB(tc_Nat_Onat,X6,tc_Nat_Onat,X52,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bseq__ignore__initial__segment) ).

fof(fact_metric__bound__lemma,axiom,
    ! [X14,X5] : hBOOL(hAPP(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,X5,X14))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X5),hAPP(c_Complex_ORe,X14)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X5),hAPP(c_Complex_OIm,X14)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_metric__bound__lemma) ).

fof(fact_DERIV__mult__lemma,axiom,
    ! [X102,X20,X9,X7,X8,X6] :
      ( class_RealVector_Oreal__field(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X20))),X102) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Ominus__class_Ominus(X6,X7,X20)),X102))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Ominus__class_Ominus(X6,X8,X9)),X102)),X20)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_DERIV__mult__lemma) ).

fof(fact_unique__quotient__lemma,axiom,
    ! [X23,X64,X77,X78,X7] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X7),X78)),X77)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X7),X64)),X23)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X77))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X77),X7))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X23),X7))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X78),X64)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_unique__quotient__lemma) ).

fof(fact_unique__quotient__lemma__neg,axiom,
    ! [X23,X64,X77,X78,X7] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X7),X78)),X77)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X7),X64)),X23)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X23),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X7),X23))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X7),X77))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X64),X78)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_unique__quotient__lemma__neg) ).

fof(fact_sum__squares__le__zero__iff,axiom,
    ! [X21,X13,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X13),X13)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X21),X21))),c_Groups_Ozero__class_Ozero(X6)))
      <=> ( X13 = c_Groups_Ozero__class_Ozero(X6)
          & X21 = c_Groups_Ozero__class_Ozero(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__squares__le__zero__iff) ).

fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom,
    ! [X25,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),X5)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_LIMSEQ__inverse__realpow__zero__lemma) ).

fof(fact_zdiv__mono2__neg__lemma,axiom,
    ! [X77,X78,X48,X23,X64,X7] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X7),X64)),X23) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X48),X78)),X77)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X48),X78)),X77)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X23),X7))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X77))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X48))
             => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X48),X7))
               => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X78),X64)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__mono2__neg__lemma) ).

fof(fact_real__of__nat__div3,axiom,
    ! [X5,X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),c_RealDef_Oreal(tc_Nat_Onat,X5)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X25,X5)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__div3) ).

fof(fact_unimodular__reduce__norm,axiom,
    ! [X11] :
      ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X11) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X11),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X11,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X11),c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X11,c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_unimodular__reduce__norm) ).

fof(fact_convex__bound__lt,axiom,
    ! [X27,X28,X14,X8,X5,X6] :
      ( class_Rings_Olinordered__semiring__1__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X8))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X28))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X27))
             => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X28),X27) = c_Groups_Oone__class_Oone(X6)
               => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X28),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X27),X14))),X8)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_convex__bound__lt) ).

fof(fact_convex__bound__le,axiom,
    ! [X27,X28,X14,X8,X5,X6] :
      ( class_Rings_Olinordered__semiring__1(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X8))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X28))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X27))
             => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X28),X27) = c_Groups_Oone__class_Oone(X6)
               => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X28),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X27),X14))),X8)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_convex__bound__le) ).

fof(fact_BseqI,axiom,
    ! [X52,X61,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X61))
       => ( ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(X52,X4))),X61))
         => c_SEQ_OBseq(X6,X52) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_BseqI) ).

fof(fact_Bseq__def,axiom,
    ! [X52,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_SEQ_OBseq(X6,X52)
      <=> ? [X57] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
            & ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(X52,X4))),X57)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bseq__def) ).

fof(fact_odd__less__0,axiom,
    ! [X41] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X41)),X41)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X41),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_odd__less__0) ).

fof(fact_q__neg__lemma,axiom,
    ! [X77,X78,X48] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X48),X78)),X77)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X77))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X48))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X78),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_q__neg__lemma) ).

fof(fact_nat__diff__add__eq1,axiom,
    ! [X25,X29,X28,X19,X18] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18),X19))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X19),X28)),X29),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X28)),X25)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X19,X18)),X28)),X29),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__diff__add__eq1) ).

fof(fact_nat__diff__add__eq2,axiom,
    ! [X25,X29,X28,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X19),X28)),X29),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X28)),X25)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X19)),X28)),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__diff__add__eq2) ).

fof(fact_mult_Obounded,axiom,
    ! [X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
        ! [X58,X59] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X58),X59))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X58)),c_RealVector_Onorm__class_Onorm(X6,X59))),X57))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Obounded) ).

fof(fact_mult_Ononneg__bounded,axiom,
    ! [X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
          & ! [X58,X59] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X58),X59))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X58)),c_RealVector_Onorm__class_Onorm(X6,X59))),X57))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ononneg__bounded) ).

fof(fact_mult_Opos__bounded,axiom,
    ! [X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
          & ! [X58,X59] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X58),X59))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X58)),c_RealVector_Onorm__class_Onorm(X6,X59))),X57))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Opos__bounded) ).

fof(fact_zdiv__mono2__lemma,axiom,
    ! [X77,X78,X48,X23,X64,X7] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X7),X64)),X23) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X48),X78)),X77)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X48),X78)),X77)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X77),X48))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X23))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X48))
             => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X48),X7))
               => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X64),X78)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__mono2__lemma) ).

fof(fact_complex__mult__def,axiom,
    ! [X14,X5] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X5),X14) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5)),hAPP(c_Complex_ORe,X14)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5)),hAPP(c_Complex_OIm,X14))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5)),hAPP(c_Complex_OIm,X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5)),hAPP(c_Complex_ORe,X14)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mult__def) ).

fof(fact_mult__right_Oconvergent,axiom,
    ! [X13,X52,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ( c_SEQ_Oconvergent(X6,X52)
       => c_SEQ_Oconvergent(X6,c_COMBB(X6,X6,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X6),X13),X52)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Oconvergent) ).

fof(help_c__COMBS__1,axiom,
    ! [X107,X108,X39,X6,X109,X24] : hAPP(c_COMBS(X24,X109,X6,X39,X108),X107) = hAPP(hAPP(X39,X107),hAPP(X108,X107)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).

fof(help_c__COMBC__1,axiom,
    ! [X107,X108,X39,X6,X109,X24] : hAPP(c_COMBC(X24,X109,X6,X39,X108),X107) = hAPP(hAPP(X39,X107),X108),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBC__1) ).

fof(help_c__COMBB__1,axiom,
    ! [X107,X108,X39,X109,X6,X24] : hAPP(c_COMBB(X24,X6,X109,X39,X108),X107) = hAPP(X39,hAPP(X108,X107)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).

fof(fact_sum__squares__gt__zero__iff,axiom,
    ! [X21,X13,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X13),X13)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X21),X21))))
      <=> ( X13 != c_Groups_Ozero__class_Ozero(X6)
          | X21 != c_Groups_Ozero__class_Ozero(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__squares__gt__zero__iff) ).

fof(fact_Re_Oconvergent,axiom,
    ! [X52] :
      ( c_SEQ_Oconvergent(tc_Complex_Ocomplex,X52)
     => c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X52)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re_Oconvergent) ).

fof(fact_Im_Oconvergent,axiom,
    ! [X52] :
      ( c_SEQ_Oconvergent(tc_Complex_Ocomplex,X52)
     => c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X52)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Oconvergent) ).

fof(fact_abs__triangle__ineq3,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,c_Groups_Oabs__class_Oabs(X6,X8),c_Groups_Oabs__class_Oabs(X6,X7)))),c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X8,X7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq3) ).

fof(fact_complex__mod__triangle__ineq2,axiom,
    ! [X8,X7] : hBOOL(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X7),X8)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X8))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mod__triangle__ineq2) ).

fof(fact_norm__triangle__ineq3,axiom,
    ! [X7,X8,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => hBOOL(hAPP(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(X6,X8),c_RealVector_Onorm__class_Onorm(X6,X7)))),c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ominus__class_Ominus(X6,X8,X7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq3) ).

fof(fact_abs__diff__less__iff,axiom,
    ! [X86,X10,X13,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X13,X10))),X86))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ominus__class_Ominus(X6,X10,X86)),X13))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X86))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__diff__less__iff) ).

fof(fact_eq__add__iff1,axiom,
    ! [X43,X16,X15,X83,X10,X6] :
      ( class_Rings_Oring(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X83)),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X83)),X43)
      <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X10,X16)),X83)),X15) = X43 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__add__iff1) ).

fof(fact_eq__add__iff2,axiom,
    ! [X43,X16,X15,X83,X10,X6] :
      ( class_Rings_Oring(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X83)),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X83)),X43)
      <=> X15 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X16,X10)),X83)),X43) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__add__iff2) ).

fof(fact_nat__eq__add__iff1,axiom,
    ! [X30,X31,X88,X84,X85] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X85),X84))
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X31) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X85),X88)),X30)
      <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X84,X85)),X88)),X31) = X30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__eq__add__iff1) ).

fof(fact_nat__eq__add__iff2,axiom,
    ! [X30,X31,X88,X85,X84] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),X85))
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X31) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X85),X88)),X30)
      <=> X31 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X85,X84)),X88)),X30) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__eq__add__iff2) ).

fof(fact_lemma__interval,axiom,
    ! [X7,X5,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X8),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5),X7))
       => ? [X87] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X87))
            & ! [X79] :
                ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X79))),X87))
               => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X79))
                  & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X79),X7)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lemma__interval) ).

fof(fact_real__of__nat__div2,axiom,
    ! [X5,X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),c_RealDef_Oreal(tc_Nat_Onat,X5)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X25,X5))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__div2) ).

fof(fact_complex__mod__triangle__sub,axiom,
    ! [X11,X12] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X12)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X12),X11))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X11)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mod__triangle__sub) ).

fof(fact_abs__mult__less,axiom,
    ! [X20,X7,X9,X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oabs__class_Oabs(X6,X8)),X9))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oabs__class_Oabs(X6,X7)),X20))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Oabs__class_Oabs(X6,X7))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X20))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__mult__less) ).

fof(fact_q__pos__lemma,axiom,
    ! [X77,X78,X48] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X48),X78)),X77)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X77),X48))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X48))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X78)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_q__pos__lemma) ).

fof(fact_combine__common__factor,axiom,
    ! [X9,X7,X44,X8,X6] :
      ( class_Rings_Osemiring(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X44)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X44)),X9)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),X44)),X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_combine__common__factor) ).

fof(fact_power__Suc__less,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),c_Groups_Oone__class_Oone(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25))),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__Suc__less) ).

fof(fact_norm__mult__less,axiom,
    ! [X22,X14,X23,X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X5)),X23))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X14)),X22))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X22))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__mult__less) ).

fof(fact_norm__add__less,axiom,
    ! [X22,X14,X23,X5,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X5)),X23))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X14)),X22))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X5),X14))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X23),X22))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__add__less) ).

fof(fact_left__add__mult__distrib,axiom,
    ! [X17,X18,X28,X19] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X19),X28)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X28)),X17)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)),X28)),X17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_left__add__mult__distrib) ).

fof(fact_abs__triangle__ineq4,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X8,X7))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Oabs__class_Oabs(X6,X7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq4) ).

fof(fact_sum__squares__ge__zero,axiom,
    ! [X14,X5,X6] :
      ( class_Rings_Olinordered__ring(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X14),X14)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__squares__ge__zero) ).

fof(fact_norm__triangle__ineq4,axiom,
    ! [X7,X8,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ominus__class_Ominus(X6,X8,X7))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X8)),c_RealVector_Onorm__class_Onorm(X6,X7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq4) ).

fof(fact_abs__triangle__ineq,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oabs__class_Oabs(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Oabs__class_Oabs(X6,X7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq) ).

fof(fact_mult__left_Obounded,axiom,
    ! [X14,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
        ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X3),X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X3)),X57))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Obounded) ).

fof(fact_mult__left_Ononneg__bounded,axiom,
    ! [X14,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
          & ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X3),X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X3)),X57))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Ononneg__bounded) ).

fof(fact_mult__left_Opos__bounded,axiom,
    ! [X14,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
          & ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X3),X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X3)),X57))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Opos__bounded) ).

fof(fact_norm__mult__ineq,axiom,
    ! [X14,X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X5)),c_RealVector_Onorm__class_Onorm(X6,X14)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__mult__ineq) ).

fof(fact_mult__right_Obounded,axiom,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
        ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X3)),X57))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Obounded) ).

fof(fact_mult__right_Ononneg__bounded,axiom,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
          & ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X3)),X57))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Ononneg__bounded) ).

fof(fact_mult__right_Opos__bounded,axiom,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => ? [X57] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
          & ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X3)),X57))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Opos__bounded) ).

fof(fact_norm__triangle__ineq,axiom,
    ! [X14,X5,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X5),X14))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X5)),c_RealVector_Onorm__class_Onorm(X6,X14)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq) ).

fof(fact_divide__left__mono,axiom,
    ! [X9,X8,X7,X6] :
      ( class_Fields_Olinordered__field(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X9),X8)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X9),X7))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__left__mono) ).

fof(fact_mult__diff__mult,axiom,
    ! [X7,X8,X14,X5,X6] :
      ( class_Rings_Oring(X6)
     => c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),c_Groups_Ominus__class_Ominus(X6,X14,X7))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X5,X8)),X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__diff__mult) ).

fof(fact_divide__left__mono__neg,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Fields_Olinordered__field__inverse__zero(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X9),c_Groups_Ozero__class_Ozero(X6)))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X9),X8)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X9),X7))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__left__mono__neg) ).

fof(fact_real__of__nat__div4,axiom,
    ! [X5,X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X25,X5))),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),c_RealDef_Oreal(tc_Nat_Onat,X5)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__div4) ).

fof(fact_nat__less__real__le,axiom,
    ! [X31,X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X31))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X30)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,X31))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__less__real__le) ).

fof(fact_less__diff__iff,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X31))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X30))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X31,X33)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X33)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__diff__iff) ).

fof(fact_le__diff__iff,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X31))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X30))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X31,X33)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X33)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__diff__iff) ).

fof(fact_abs__triangle__ineq2,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ominus__class_Ominus(X6,c_Groups_Oabs__class_Oabs(X6,X8),c_Groups_Oabs__class_Oabs(X6,X7))),c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X8,X7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq2) ).

fof(fact_abs__triangle__ineq2__sym,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ominus__class_Ominus(X6,c_Groups_Oabs__class_Oabs(X6,X8),c_Groups_Oabs__class_Oabs(X6,X7))),c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X7,X8)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__triangle__ineq2__sym) ).

fof(fact_norm__power__ineq,axiom,
    ! [X25,X5,X6] :
      ( class_RealVector_Oreal__normed__algebra__1(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X25))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X5)),X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__power__ineq) ).

fof(fact_norm__triangle__ineq2,axiom,
    ! [X7,X8,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X8),c_RealVector_Onorm__class_Onorm(X6,X7))),c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ominus__class_Ominus(X6,X8,X7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq2) ).

fof(fact_norm__diff__ineq,axiom,
    ! [X7,X8,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X8),c_RealVector_Onorm__class_Onorm(X6,X7))),c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__diff__ineq) ).

fof(fact_mult__right__less__imp__less,axiom,
    ! [X7,X9,X8,X6] :
      ( class_Rings_Olinordered__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right__less__imp__less) ).

fof(fact_mult__less__imp__less__right,axiom,
    ! [X7,X9,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__imp__less__right) ).

fof(fact_power__less__imp__less__base,axiom,
    ! [X7,X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),X25)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__less__imp__less__base) ).

fof(fact_mult__left__less__imp__less,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Rings_Olinordered__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__less__imp__less) ).

fof(fact_mult__less__imp__less__left,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__imp__less__left) ).

fof(fact_mult__less__cancel__left__pos,axiom,
    ! [X16,X10,X15,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X15))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X16)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),X16)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel__left__pos) ).

fof(fact_mult__right__le__imp__le,axiom,
    ! [X7,X9,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right__le__imp__le) ).

fof(fact_mult__left__le__imp__le,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__le__imp__le) ).

fof(fact_mult__le__cancel__left__pos,axiom,
    ! [X16,X10,X15,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X15))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X16)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X10),X16)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__cancel__left__pos) ).

fof(fact_power__strict__increasing__iff,axiom,
    ! [X21,X13,X16,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X16))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X16),X13)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X16),X21)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13),X21)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__strict__increasing__iff) ).

fof(fact_power__less__imp__less__exp,axiom,
    ! [X25,X29,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__less__imp__less__exp) ).

fof(fact_power__le__imp__le__exp,axiom,
    ! [X25,X29,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__le__imp__le__exp) ).

fof(fact_power__increasing__iff,axiom,
    ! [X21,X13,X16,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X16))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X16),X13)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X16),X21)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X13),X21)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__increasing__iff) ).

fof(fact_mult__less__cancel__left__neg,axiom,
    ! [X16,X10,X15,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X15),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X16)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X16),X10)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel__left__neg) ).

fof(fact_mult__le__cancel__left__neg,axiom,
    ! [X16,X10,X15,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X15),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X16)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X16),X10)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__cancel__left__neg) ).

fof(fact_mult__less__cancel__left__disj,axiom,
    ! [X16,X10,X15,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X15),X16)))
      <=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X15))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),X16)) )
          | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X15),c_Groups_Ozero__class_Ozero(X6)))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X16),X10)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel__left__disj) ).

fof(fact_mult__less__cancel__right__disj,axiom,
    ! [X16,X15,X10,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X15)))
      <=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X15))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),X16)) )
          | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X15),c_Groups_Ozero__class_Ozero(X6)))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X16),X10)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel__right__disj) ).

fof(fact_mult__strict__mono,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X9),X20))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
             => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X20))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__mono) ).

fof(fact_mult__strict__mono_H,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X9),X20))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
             => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X20))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__mono_H) ).

fof(fact_mult__le__less__imp__less,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X9),X20))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
             => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X20))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__less__imp__less) ).

fof(fact_mult__less__le__imp__less,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X9),X20))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
             => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X20))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__le__imp__less) ).

fof(fact_mult__mono_H,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Rings_Oordered__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X9),X20))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
             => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X20))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__mono_H) ).

fof(fact_mult__mono,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Rings_Oordered__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X9),X20))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
             => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X20))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__mono) ).

fof(fact_reals__Archimedean6,axiom,
    ! [X23] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X23))
     => ? [X4] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X23))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X23),c_RealDef_Oreal(tc_Nat_Onat,X4))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_reals__Archimedean6) ).

fof(fact_power__less__power__Suc,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X8))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__less__power__Suc) ).

fof(fact_le__mult__natfloor,axiom,
    ! [X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X8))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X8)),c_RComplete_Onatfloor(X7))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X8),X7)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__mult__natfloor) ).

fof(fact_complex__mult,axiom,
    ! [X20,X9,X7,X8] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X8,X7)),c_Complex_Ocomplex_OComplex(X9,X20)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X8),X9),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X7),X20)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X8),X20)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X7),X9))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mult) ).

fof(fact_nat__power__less__imp__less,axiom,
    ! [X25,X29,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X19))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X19),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X19),X25)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__power__less__imp__less) ).

fof(fact_nat__mult__less__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X33))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X31)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X30)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__less__cancel1) ).

fof(fact_real__mult__less__iff1,axiom,
    ! [X21,X13,X41] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X41))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X13),X41)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X21),X41)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13),X21)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__less__iff1) ).

fof(fact_mult__le__cancel2,axiom,
    ! [X30,X33,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X33)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X33)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X33))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__cancel2) ).

fof(fact_nat__mult__le__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X33))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X31)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X30)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__le__cancel1) ).

fof(fact_mult__le__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X31)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X30)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X33))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__cancel1) ).

fof(fact_real__mult__le__cancel__iff1,axiom,
    ! [X21,X13,X41] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X41))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X13),X41)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X21),X41)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),X21)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__le__cancel__iff1) ).

fof(fact_real__mult__le__cancel__iff2,axiom,
    ! [X21,X13,X41] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X41))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X41),X13)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X41),X21)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),X21)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__le__cancel__iff2) ).

fof(fact_add__less__cancel__right,axiom,
    ! [X16,X15,X10,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X16),X15)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),X16)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__cancel__right) ).

fof(fact_add__less__imp__less__right,axiom,
    ! [X7,X9,X8,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X9)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__imp__less__right) ).

fof(fact_add__less__cancel__left,axiom,
    ! [X16,X10,X15,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X15),X10)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X15),X16)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),X16)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__cancel__left) ).

fof(fact_add__less__imp__less__left,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X8)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X7)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__imp__less__left) ).

fof(fact_add__le__cancel__right,axiom,
    ! [X16,X15,X10,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X16),X15)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X10),X16)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__cancel__right) ).

fof(fact_add__le__imp__le__right,axiom,
    ! [X7,X9,X8,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X9)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__imp__le__right) ).

fof(fact_add__le__cancel__left,axiom,
    ! [X16,X10,X15,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X15),X10)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X15),X16)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X10),X16)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__cancel__left) ).

fof(fact_add__le__imp__le__left,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X8)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X7)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__imp__le__left) ).

fof(fact_crossproduct__noteq,axiom,
    ! [X43,X15,X16,X10,X6] :
      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
     => ( ( X10 != X16
          & X15 != X43 )
      <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X43)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X43)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X16),X15)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_crossproduct__noteq) ).

fof(fact_crossproduct__eq,axiom,
    ! [X41,X13,X21,X42,X6] :
      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X42),X21)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X13),X41)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X42),X41)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X13),X21))
      <=> ( X42 = X13
          | X21 = X41 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_crossproduct__eq) ).

fof(fact_power__strict__mono,axiom,
    ! [X25,X7,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),X25))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__strict__mono) ).

fof(fact_power__strict__decreasing,axiom,
    ! [X8,X71,X25,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X71))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),c_Groups_Oone__class_Oone(X6)))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X71)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__strict__decreasing) ).

fof(fact_power__decreasing,axiom,
    ! [X8,X71,X25,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X71))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Oone__class_Oone(X6)))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X71)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__decreasing) ).

fof(fact_zdiv__mono2,axiom,
    ! [X7,X48,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X8))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X48))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X48),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X48))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__mono2) ).

fof(fact_le__diff__conv2,axiom,
    ! [X84,X85,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X85))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X85,X33)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X84),X33)),X85)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__diff__conv2) ).

fof(fact_zdiv__mono2__neg,axiom,
    ! [X7,X48,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X8),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X48))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X48),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X48)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__mono2__neg) ).

fof(fact_ln__add__one__self__le__self,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5))),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__add__one__self__le__self) ).

fof(fact_mult__less__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X31)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X30)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X33))
        & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel1) ).

fof(fact_mult__less__cancel2,axiom,
    ! [X30,X33,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X33)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X33)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X33))
        & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__cancel2) ).

fof(fact_split__div,axiom,
    ! [X33,X30,X39] :
      ( hBOOL(hAPP(X39,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X33)))
    <=> ( ( X33 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
        & ( X33 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => ! [X60,X70] :
              ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X70),X33))
             => ( X30 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X60)),X70)
               => hBOOL(hAPP(X39,X60)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_split__div) ).

fof(fact_nat__add__left__cancel__less,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X30)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__left__cancel__less) ).

fof(fact_nat__add__left__cancel__le,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X30)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__left__cancel__le) ).

fof(fact_le__diff__conv,axiom,
    ! [X84,X33,X85] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X85,X33)),X84))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X85),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X84),X33))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__diff__conv) ).

fof(fact_natceiling__eq,axiom,
    ! [X5,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X25)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
       => c_RComplete_Onatceiling(X5) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__eq) ).

fof(fact_mult__le__0__iff,axiom,
    ! [X16,X10,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X16)),c_Groups_Ozero__class_Ozero(X6)))
      <=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X10))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X16),c_Groups_Ozero__class_Ozero(X6))) )
          | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X10),c_Groups_Ozero__class_Ozero(X6)))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X16)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__0__iff) ).

fof(fact_pos__imp__zdiv__neg__iff,axiom,
    ! [X10,X16] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X16))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X10,X16)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X10),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__imp__zdiv__neg__iff) ).

fof(fact_mult__strict__right__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__right__mono) ).

fof(fact_mult__strict__left__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__left__mono) ).

fof(fact_comm__mult__strict__left__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Olinordered__comm__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__mult__strict__left__mono) ).

fof(fact_power__mono,axiom,
    ! [X25,X7,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),X25))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__mono) ).

fof(fact_mult__right__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Oordered__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right__mono) ).

fof(fact_comm__mult__left__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Oordered__comm__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__mult__left__mono) ).

fof(fact_mult__left__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Oordered__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__mono) ).

fof(fact_neg__imp__zdiv__neg__iff,axiom,
    ! [X10,X16] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X16),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X10,X16)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__imp__zdiv__neg__iff) ).

fof(fact_ge__natfloor__plus__one__imp__gt,axiom,
    ! [X25,X11] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X11)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X11),c_RealDef_Oreal(tc_Nat_Onat,X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ge__natfloor__plus__one__imp__gt) ).

fof(fact_reals__Archimedean3,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => ! [X79] :
        ? [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X79),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4)),X5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_reals__Archimedean3) ).

fof(fact_power__strict__increasing,axiom,
    ! [X8,X71,X25,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X71))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X8))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X71))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__strict__increasing) ).

fof(fact_power__increasing,axiom,
    ! [X8,X71,X25,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X71))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oone__class_Oone(X6)),X8))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X71))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__increasing) ).

fof(fact_mult__right__le__one__le,axiom,
    ! [X14,X5,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X5))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X14))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),c_Groups_Oone__class_Oone(X6)))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14)),X5)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right__le__one__le) ).

fof(fact_mult__left__le__one__le,axiom,
    ! [X14,X5,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X5))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X14))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),c_Groups_Oone__class_Oone(X6)))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X14),X5)),X5)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__le__one__le) ).

fof(fact_mult__strict__right__mono__neg,axiom,
    ! [X9,X8,X7,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X9),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__right__mono__neg) ).

fof(fact_mult__strict__left__mono__neg,axiom,
    ! [X9,X8,X7,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X9),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__strict__left__mono__neg) ).

fof(fact_mult__right__mono__neg,axiom,
    ! [X9,X8,X7,X6] :
      ( class_Rings_Oordered__ring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X9),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right__mono__neg) ).

fof(fact_mult__left__mono__neg,axiom,
    ! [X9,X8,X7,X6] :
      ( class_Rings_Oordered__ring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X9),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__mono__neg) ).

fof(fact_natfloor__eq,axiom,
    ! [X5,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X25)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
       => c_RComplete_Onatfloor(X5) = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__eq) ).

fof(fact_less__diff__conv,axiom,
    ! [X33,X85,X84] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X84),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X85,X33)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X84),X33)),X85)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__diff__conv) ).

fof(fact_add__strict__mono,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X9),X20))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X20))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__mono) ).

fof(fact_add__le__less__mono,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X9),X20))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X20))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__less__mono) ).

fof(fact_add__less__le__mono,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X9),X20))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X20))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__le__mono) ).

fof(fact_add__mono,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Groups_Oordered__ab__semigroup__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X9),X20))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X20))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__mono) ).

fof(fact_zdiv__mono1,axiom,
    ! [X7,X46,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X8),X46))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X46,X7))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__mono1) ).

fof(fact_div__le__mono2,axiom,
    ! [X17,X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X17,X25)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X17,X29))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__le__mono2) ).

fof(fact_zdiv__mono1__neg,axiom,
    ! [X7,X46,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X8),X46))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X7),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X46,X7)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__mono1__neg) ).

fof(fact_diff__less__mono,axiom,
    ! [X9,X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X8),X7))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9),X8))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X8,X9)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X7,X9))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__less__mono) ).

fof(fact_diff__less__mono2,axiom,
    ! [X34,X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X34))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X25)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X29))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__less__mono2) ).

fof(fact_nat__le__real__less,axiom,
    ! [X31,X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X31))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X30)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X31)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__le__real__less) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
    ! [X35,X36,X38,X37,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X38)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X36),X35)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X36),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X38)),X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) ).

fof(fact_less__iff__diff__less__0,axiom,
    ! [X16,X10,X6] :
      ( class_Groups_Oordered__ab__group__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),X16))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ominus__class_Ominus(X6,X10,X16)),c_Groups_Ozero__class_Ozero(X6))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__iff__diff__less__0) ).

fof(fact_le__iff__diff__le__0,axiom,
    ! [X16,X10,X6] :
      ( class_Groups_Oordered__ab__group__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X10),X16))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ominus__class_Ominus(X6,X10,X16)),c_Groups_Ozero__class_Ozero(X6))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__iff__diff__le__0) ).

fof(fact_th,axiom,
    ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X4)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_th) ).

fof(fact_power__gt1__lemma,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X8))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__gt1__lemma) ).

fof(fact_realpow__minus__mult,axiom,
    ! [X5,X25,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
       => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X5) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X25) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__minus__mult) ).

fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
    ! [X10,X6] :
      ( class_Groups_Olinordered__ab__group__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X10)),c_Groups_Ozero__class_Ozero(X6)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),c_Groups_Ozero__class_Ozero(X6))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__add__less__zero__iff__single__add__less__zero) ).

fof(fact_even__less__0__iff,axiom,
    ! [X10,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X10)),c_Groups_Ozero__class_Ozero(X6)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),c_Groups_Ozero__class_Ozero(X6))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_even__less__0__iff) ).

fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
    ! [X10,X6] :
      ( class_Groups_Olinordered__ab__group__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X10)),c_Groups_Ozero__class_Ozero(X6)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X10),c_Groups_Ozero__class_Ozero(X6))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__add__le__zero__iff__single__add__le__zero) ).

fof(fact_incseq__def,axiom,
    ! [X52,X6] :
      ( class_Orderings_Oorder(X6)
     => ( c_SEQ_Oincseq(X6,X52)
      <=> ! [X53,X4] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X53),X4))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(X52,X53)),hAPP(X52,X4))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_incseq__def) ).

fof(fact_decseq__def,axiom,
    ! [X52,X6] :
      ( class_Orderings_Oorder(X6)
     => ( c_SEQ_Odecseq(X6,X52)
      <=> ! [X53,X4] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X53),X4))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(X52,X4)),hAPP(X52,X53))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_decseq__def) ).

fof(fact_monoseq__def,axiom,
    ! [X52,X6] :
      ( class_Orderings_Oorder(X6)
     => ( c_SEQ_Omonoseq(X6,X52)
      <=> ( ! [X53,X4] :
              ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X53),X4))
             => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(X52,X53)),hAPP(X52,X4))) )
          | ! [X53,X4] :
              ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X53),X4))
             => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(X52,X4)),hAPP(X52,X53))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_monoseq__def) ).

fof(fact_zmult__zless__mono2,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X17))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),X19)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),X18))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zmult__zless__mono2) ).

fof(fact_mult__less__mono1,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X17))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X19),X17)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X17))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__mono1) ).

fof(fact_mult__less__mono2,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X17))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X19)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X18))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__less__mono2) ).

fof(fact_real__mult__less__mono2,axiom,
    ! [X14,X5,X11] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X11))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X11),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X11),X14))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__less__mono2) ).

fof(fact_norm__ratiotest__lemma,axiom,
    ! [X14,X5,X9,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),c_RealVector_Onorm__class_Onorm(X6,X14))))
         => X5 = c_Groups_Ozero__class_Ozero(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__ratiotest__lemma) ).

fof(fact_less__bin__lemma,axiom,
    ! [X55,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),X55))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X33,X55)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__bin__lemma) ).

fof(fact_real__le__eq__diff,axiom,
    ! [X21,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),X21))
    <=> hBOOL(hAPP(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_zadd__zless__mono,axiom,
    ! [X11,X73,X12,X74] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X74),X12))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X73),X11))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X74),X73)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X12),X11))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__zless__mono) ).

fof(fact_add__less__mono,axiom,
    ! [X34,X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X17),X34))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X17)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X34))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__mono) ).

fof(fact_mult__le__mono,axiom,
    ! [X34,X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X34))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X19),X17)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X34))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__mono) ).

fof(fact_add__le__mono,axiom,
    ! [X34,X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X34))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X17)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X34))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__mono) ).

fof(fact_add__strict__right__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X9))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__right__mono) ).

fof(fact_add__strict__left__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oordered__cancel__ab__semigroup__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X8)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X7))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__left__mono) ).

fof(fact_add__right__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oordered__ab__semigroup__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X9))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__right__mono) ).

fof(fact_add__left__mono,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oordered__ab__semigroup__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X8)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X7))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__left__mono) ).

fof(fact_complex__Im__mult,axiom,
    ! [X14,X5] : hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X5),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5)),hAPP(c_Complex_OIm,X14))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5)),hAPP(c_Complex_ORe,X14))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__Im__mult) ).

fof(fact_mult__neg__pos,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__neg__pos) ).

fof(fact_mult__pos__neg,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__pos__neg) ).

fof(fact_mult__pos__neg2,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X8)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__pos__neg2) ).

fof(fact_mult__nonpos__nonneg,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Oordered__cancel__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonpos__nonneg) ).

fof(fact_split__mult__neg__le,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Oordered__cancel__semiring(X6)
     => ( ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),c_Groups_Ozero__class_Ozero(X6))) )
          | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7)) ) )
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_split__mult__neg__le) ).

fof(fact_mult__nonneg__nonpos,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Oordered__cancel__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonneg__nonpos) ).

fof(fact_mult__nonneg__nonpos2,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Oordered__cancel__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X8)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonneg__nonpos2) ).

fof(fact_rabs__ratiotest__lemma,axiom,
    ! [X14,X5,X9] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X14))))
       => X5 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rabs__ratiotest__lemma) ).

fof(fact_div__le__mono,axiom,
    ! [X17,X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X17)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X25,X17))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__le__mono) ).

fof(fact_diff__le__mono,axiom,
    ! [X34,X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X34)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,X34))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__le__mono) ).

fof(fact_diff__le__mono2,axiom,
    ! [X34,X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X25)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X29))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__le__mono2) ).

fof(fact_add__neg__neg,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__neg__neg) ).

fof(fact_add__nonpos__neg,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonpos__neg) ).

fof(fact_add__neg__nonpos,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__neg__nonpos) ).

fof(fact_add__nonpos__nonpos,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),c_Groups_Ozero__class_Ozero(X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonpos__nonpos) ).

fof(fact_add1__zle__eq,axiom,
    ! [X41,X42] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X42),c_Groups_Oone__class_Oone(tc_Int_Oint))),X41))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X42),X41)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add1__zle__eq) ).

fof(fact_zero__less__mult__pos2,axiom,
    ! [X8,X7,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X8)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__mult__pos2) ).

fof(fact_zero__less__mult__pos,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__mult__pos) ).

fof(fact_int__div__less__self,axiom,
    ! [X17,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X17))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5,X17)),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_int__div__less__self) ).

fof(fact_div__less__dividend,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25)),X29)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__less__dividend) ).

fof(fact_diff__less,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)),X29)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__less) ).

fof(fact_div__neg__pos__less0,axiom,
    ! [X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X8),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__neg__pos__less0) ).

fof(fact_div__nonneg__neg__le0,axiom,
    ! [X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X8))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X7),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__nonneg__neg__le0) ).

fof(fact_div__nonpos__pos__le0,axiom,
    ! [X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X8),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__nonpos__pos__le0) ).

fof(fact_le__add__diff,axiom,
    ! [X29,X25,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X29),X17))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add__diff) ).

fof(fact_add__lessD1,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)),X17))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),X17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__lessD1) ).

fof(fact_add__leD1,axiom,
    ! [X25,X17,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X17)),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__leD1) ).

fof(fact_add__leD2,axiom,
    ! [X25,X17,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X17)),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__leD2) ).

fof(fact_zadd__strict__right__mono,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X19),X17)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X18),X17))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__strict__right__mono) ).

fof(fact_add__less__mono1,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X17)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X17))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__mono1) ).

fof(fact_zadd__left__mono,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X17),X19)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X17),X18))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__left__mono) ).

fof(fact_mult__le__mono1,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X19),X17)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X17))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__mono1) ).

fof(fact_mult__le__mono2,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X19)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X18))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__le__mono2) ).

fof(fact_add__le__mono1,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X17)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X17))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__le__mono1) ).

fof(fact_real__add__left__mono,axiom,
    ! [X11,X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),X14))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X11),X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X11),X14))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__left__mono) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
    ! [X35,X36,X38,X37,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X38)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X36),X35)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X36)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X38),X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
    ! [X20,X9,X7,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X20)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X20)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
    ! [X35,X36,X38,X37,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X38)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X36),X35)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X38),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X36),X35))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) ).

fof(fact_zero__less__zpower__abs__iff,axiom,
    ! [X30,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X13)),X30)))
    <=> ( X13 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__zpower__abs__iff) ).

fof(fact_Re_Obounded,axiom,
    ? [X57] :
    ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)),X57))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re_Obounded) ).

fof(fact_Re_Ononneg__bounded,axiom,
    ? [X57] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
      & ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)),X57))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re_Ononneg__bounded) ).

fof(fact_Re_Opos__bounded,axiom,
    ? [X57] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
      & ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)),X57))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re_Opos__bounded) ).

fof(fact_Im_Obounded,axiom,
    ? [X57] :
    ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)),X57))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Obounded) ).

fof(fact_Im_Ononneg__bounded,axiom,
    ? [X57] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
      & ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)),X57))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Ononneg__bounded) ).

fof(fact_Im_Opos__bounded,axiom,
    ? [X57] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
      & ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)),X57))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Opos__bounded) ).

fof(fact_nat__diff__split,axiom,
    ! [X16,X10,X39] :
      ( hBOOL(hAPP(X39,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X10,X16)))
    <=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10),X16))
         => hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
        & ! [X87] :
            ( X10 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16),X87)
           => hBOOL(hAPP(X39,X87)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__diff__split) ).

fof(fact_zero__le__mult__iff,axiom,
    ! [X16,X10,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X16)))
      <=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X10))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X16)) )
          | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X10),c_Groups_Ozero__class_Ozero(X6)))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X16),c_Groups_Ozero__class_Ozero(X6))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__mult__iff) ).

fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
    ! [X16,X10] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X10))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X10,X16)))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X16),X10))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X16)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonneg1__imp__zdiv__pos__iff) ).

fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
    ! [X10,X16] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X16))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X10,X16)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__imp__zdiv__nonneg__iff) ).

fof(fact_pos__imp__zdiv__pos__iff,axiom,
    ! [X84,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X33))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X84,X33)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X33),X84)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__imp__zdiv__pos__iff) ).

fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
    ! [X10,X16] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X16),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X10,X16)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X10),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neg__imp__zdiv__nonneg__iff) ).

fof(fact_less__1__mult,axiom,
    ! [X25,X29,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X29))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X25))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X29),X25))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__1__mult) ).

fof(fact_mult__pos__pos,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Olinordered__semiring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__pos__pos) ).

fof(fact_add__pos__pos,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__pos__pos) ).

fof(fact_add__nonneg__pos,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonneg__pos) ).

fof(fact_add__pos__nonneg,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__pos__nonneg) ).

fof(fact_split__mult__pos__le,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Oordered__ring(X6)
     => ( ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7)) )
          | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
            & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),c_Groups_Ozero__class_Ozero(X6))) ) )
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_split__mult__pos__le) ).

fof(fact_mult__nonneg__nonneg,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Oordered__cancel__semiring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonneg__nonneg) ).

fof(fact_add__nonneg__nonneg,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonneg__nonneg) ).

fof(fact_power__eq__imp__eq__base,axiom,
    ! [X7,X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),X25)
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
         => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
             => X8 = X7 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__eq__imp__eq__base) ).

fof(fact_power__diff,axiom,
    ! [X29,X25,X8,X6] :
      ( class_Fields_Ofield(X6)
     => ( X8 != c_Groups_Ozero__class_Ozero(X6)
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X29))
         => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__diff) ).

fof(fact_Deriv_Oadd__diff__add,axiom,
    ! [X20,X7,X9,X8,X6] :
      ( class_Groups_Oab__group__add(X6)
     => c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X20)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Ominus__class_Ominus(X6,X8,X7)),c_Groups_Ominus__class_Ominus(X6,X9,X20)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Deriv_Oadd__diff__add) ).

fof(fact_nonzero__power__divide,axiom,
    ! [X25,X8,X7,X6] :
      ( class_Fields_Ofield(X6)
     => ( X7 != c_Groups_Ozero__class_Ozero(X6)
       => hAPP(hAPP(c_Power_Opower__class_Opower(X6),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X7)),X25) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__power__divide) ).

fof(fact_mult__eq__if,axiom,
    ! [X25,X29] :
      ( ( X29 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X29 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__eq__if) ).

fof(fact_one__less__power,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__less__power) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
    ! [X7,X29,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X29)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).

fof(fact_add__divide__distrib,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Odivision__ring(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),X9) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X9)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X7),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__divide__distrib) ).

fof(fact_divide_Oadd,axiom,
    ! [X45,X14,X5,X6] :
      ( class_RealVector_Oreal__normed__field(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X5),X14)),X45) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X5),X45)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X14),X45)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide_Oadd) ).

fof(fact_power__divide,axiom,
    ! [X25,X7,X8,X6] :
      ( class_Fields_Ofield__inverse__zero(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X7)),X25) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__divide) ).

fof(fact_power__mult__distrib,axiom,
    ! [X25,X7,X8,X6] :
      ( class_Groups_Ocomm__monoid__mult(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),X25) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X7),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__mult__distrib) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
    ! [X64,X14,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14)),X64) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X64)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X14),X64)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).

fof(fact_comm__semiring__class_Odistrib,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Ocomm__semiring(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),X9) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__class_Odistrib) ).

fof(fact_mult_Oadd__left,axiom,
    ! [X7,X46,X8,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X46)),X7) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X46),X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Oadd__left) ).

fof(fact_mult__left_Oadd,axiom,
    ! [X45,X14,X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X5),X14)),X45) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X45)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X14),X45)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Oadd) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),X9) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).

fof(fact_le__cube,axiom,
    ! [X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X29)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__cube) ).

fof(fact_mult__neg__neg,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__neg__neg) ).

fof(fact_mult__nonpos__nonpos,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Oordered__ring(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Ozero__class_Ozero(X6)))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),c_Groups_Ozero__class_Ozero(X6)))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__nonpos__nonpos) ).

fof(fact_less__imp__diff__less,axiom,
    ! [X25,X17,X18] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18),X17))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X25)),X17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__imp__diff__less) ).

fof(fact_complex__Re__mult,axiom,
    ! [X14,X5] : hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X5),X14)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5)),hAPP(c_Complex_ORe,X14)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5)),hAPP(c_Complex_OIm,X14))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__Re__mult) ).

fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
    ! [X10,X6] :
      ( class_Groups_Olinordered__ab__group__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X10)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__double__add__iff__zero__less__single__add) ).

fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
    ! [X10,X6] :
      ( class_Groups_Olinordered__ab__group__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X10)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__double__add__iff__zero__le__single__add) ).

fof(fact_add__gr__0,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X30)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X31))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__gr__0) ).

fof(fact_real__0__le__divide__iff,axiom,
    ! [X21,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X13),X21)))
    <=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
          | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X21)) )
        & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
          | hBOOL(hAPP(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__strict__increasing2,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__increasing2) ).

fof(fact_add__strict__increasing,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__increasing) ).

fof(fact_pos__add__strict,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__add__strict) ).

fof(fact_add__increasing,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),X9))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing) ).

fof(fact_add__increasing2,axiom,
    ! [X8,X7,X9,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X9))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),X8))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing2) ).

fof(fact_abs__eq__mult,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Oordered__ring__abs(X6)
     => ( ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
            | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Ozero__class_Ozero(X6))) )
          & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X7))
            | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),c_Groups_Ozero__class_Ozero(X6))) ) )
       => c_Groups_Oabs__class_Oabs(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Oabs__class_Oabs(X6,X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__eq__mult) ).

fof(fact_real__natfloor__gt__diff__one,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X5)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__natfloor__gt__diff__one) ).

fof(fact_sum__squares__eq__zero__iff,axiom,
    ! [X21,X13,X6] :
      ( class_Rings_Olinordered__ring__strict(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X13),X13)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X21),X21)) = c_Groups_Ozero__class_Ozero(X6)
      <=> ( X13 = c_Groups_Ozero__class_Ozero(X6)
          & X21 = c_Groups_Ozero__class_Ozero(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__squares__eq__zero__iff) ).

fof(fact_zless__imp__add1__zle,axiom,
    ! [X11,X12] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X12),X11))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X12),c_Groups_Oone__class_Oone(tc_Int_Oint))),X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zless__imp__add1__zle) ).

fof(fact_self__quotient__aux2,axiom,
    ! [X64,X23,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X8))
     => ( X8 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X23),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X8),X64))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X23))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X64),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_self__quotient__aux2) ).

fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5,X14))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Divides_Otransfer__nat__int__function__closures_I1_J) ).

fof(fact_real__squared__diff__one__factored,axiom,
    ! [X5,X6] :
      ( class_Rings_Oring__1(X6)
     => c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X5),c_Groups_Oone__class_Oone(X6)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X5),c_Groups_Oone__class_Oone(X6))),c_Groups_Ominus__class_Ominus(X6,X5,c_Groups_Oone__class_Oone(X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__squared__diff__one__factored) ).

fof(fact_self__quotient__aux1,axiom,
    ! [X64,X23,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X8))
     => ( X8 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X23),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X8),X64))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X23),X8))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X64)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_self__quotient__aux1) ).

fof(fact_Nat_Odiff__diff__eq,axiom,
    ! [X25,X29,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X29))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X25))
       => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X17),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,X17)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Odiff__diff__eq) ).

fof(fact_real__natfloor__add__one__gt,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X5))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__natfloor__add__one__gt) ).

fof(fact_nat__0__less__mult__iff,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X30)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X31))
        & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X30)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__0__less__mult__iff) ).

fof(fact_real__mult__order,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5),X14))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__order) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X14))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X14))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
    ! [X29,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X29)),X29) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),c_Groups_Oone__class_Oone(X6))),X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).

fof(fact_zadd__zmult__distrib,axiom,
    ! [X12,X49,X50] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X50),X49)),X12) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X50),X12)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X49),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__zmult__distrib) ).

fof(fact_add__mult__distrib,axiom,
    ! [X17,X25,X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25)),X17) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X17)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__mult__distrib) ).

fof(fact_real__add__mult__distrib,axiom,
    ! [X12,X49,X50] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X50),X49)),X12) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X50),X12)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X49),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__mult__distrib) ).

fof(fact_zero__less__diff,axiom,
    ! [X31,X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X31)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__diff) ).

fof(fact_zle__diff1__eq,axiom,
    ! [X41,X42] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X42),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X41,c_Groups_Oone__class_Oone(tc_Int_Oint))))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X42),X41)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__diff1__eq) ).

fof(fact_le__funE,axiom,
    ! [X13,X1,X2,X6,X24] :
      ( class_Orderings_Oord(X24)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X24),X2),X1))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X24,hAPP(X2,X13)),hAPP(X1,X13))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__funE) ).

fof(fact_le__funD,axiom,
    ! [X13,X1,X2,X6,X24] :
      ( class_Orderings_Oord(X24)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X24),X2),X1))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X24,hAPP(X2,X13)),hAPP(X1,X13))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__funD) ).

fof(fact_div__mult__self2,axiom,
    ! [X9,X8,X7,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X7 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9)),X7) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),c_Divides_Odiv__class_Odiv(X6,X8,X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__self2) ).

fof(fact_div__mult__self1,axiom,
    ! [X9,X8,X7,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X7 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7)),X7) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),c_Divides_Odiv__class_Odiv(X6,X8,X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__self1) ).

fof(fact_diff__divide__distrib,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Odivision__ring(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Ominus__class_Ominus(X6,X8,X7)),X9) = c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X9),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X7),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__divide__distrib) ).

fof(fact_divide_Odiff,axiom,
    ! [X45,X14,X5,X6] :
      ( class_RealVector_Oreal__normed__field(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Ominus__class_Ominus(X6,X5,X14)),X45) = c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X5),X45),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X14),X45)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide_Odiff) ).

fof(fact_mult_Odiff__left,axiom,
    ! [X7,X46,X8,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X8,X46)),X7) = c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X46),X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Odiff__left) ).

fof(fact_mult__left_Odiff,axiom,
    ! [X45,X14,X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ominus__class_Ominus(X6,X5,X14)),X45) = c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X45),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X14),X45)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Odiff) ).

fof(fact_ln__less__cancel__iff,axiom,
    ! [X21,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X21))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X13)),c_Transcendental_Oln(X21)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13),X21)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__less__cancel__iff) ).

fof(fact_ln__le__cancel__iff,axiom,
    ! [X21,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X21))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X13)),c_Transcendental_Oln(X21)))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),X21)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__le__cancel__iff) ).

fof(fact_zero__le__power__abs,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),c_Groups_Oabs__class_Oabs(X6,X8)),X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__power__abs) ).

fof(fact_mult_Oadd__right,axiom,
    ! [X48,X7,X8,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X48)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X48)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Oadd__right) ).

fof(fact_mult__right_Oadd,axiom,
    ! [X14,X5,X47,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X47),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X5),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X47),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X47),X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Oadd) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
    ! [X11,X14,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X14),X11)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
    ! [X36,X38,X37,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X38)),X36) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X36)),X38) ),
    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,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),X9) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J) ).

fof(fact_diff__add__assoc2,axiom,
    ! [X19,X18,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X18))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X19),X17) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X17)),X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__assoc2) ).

fof(fact_add__diff__assoc2,axiom,
    ! [X19,X18,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X18))
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X17)),X19) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X19),X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__assoc2) ).

fof(fact_complex__add__def,axiom,
    ! [X14,X5] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X5),X14) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5)),hAPP(c_Complex_ORe,X14)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5)),hAPP(c_Complex_OIm,X14))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__add__def) ).

fof(fact_zero__less__power__nat__eq,axiom,
    ! [X30,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X13),X30)))
    <=> ( X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(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,
    ! [X30,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X13),X30)))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X13))
        | X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__zero__less__power__iff) ).

fof(fact_Bseq__mono__convergent,axiom,
    ! [X52] :
      ( c_SEQ_OBseq(tc_RealDef_Oreal,X52)
     => ( ! [X53,X4] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X53),X4))
           => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X52,X53)),hAPP(X52,X4))) )
       => c_SEQ_Oconvergent(tc_RealDef_Oreal,X52) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bseq__mono__convergent) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
    ! [X64,X65,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X65)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X64)) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X65),X64)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J) ).

fof(fact_power__add,axiom,
    ! [X25,X29,X8,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__add) ).

fof(fact_realpow__pos__nth__unique,axiom,
    ! [X8,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X8))
       => ? [X3] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3))
            & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X3),X25) = X8
            & ! [X79] :
                ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X79))
                  & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X79),X25) = X8 )
               => X79 = X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__pos__nth__unique) ).

fof(fact_real__two__squares__add__zero__iff,axiom,
    ! [X21,X13] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X13),X13)),hAPP(hAPP(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_add__scale__eq__noteq,axiom,
    ! [X20,X9,X7,X8,X23,X6] :
      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
     => ( X23 != c_Groups_Ozero__class_Ozero(X6)
       => ( ( X8 = X7
            & X9 != X20 )
         => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X23),X9)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X23),X20)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__scale__eq__noteq) ).

fof(fact_zless__add1__eq,axiom,
    ! [X41,X42] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X42),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X41),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X42),X41))
        | X42 = X41 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zless__add1__eq) ).

fof(fact_zle__add1__eq__le,axiom,
    ! [X41,X42] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X42),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X41),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X42),X41)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__add1__eq__le) ).

fof(fact_le__natfloor__eq,axiom,
    ! [X10,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X10),c_RComplete_Onatfloor(X13)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X10)),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__natfloor__eq) ).

fof(fact_div__le__dividend,axiom,
    ! [X25,X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25)),X29)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__le__dividend) ).

fof(fact_diff__le__self,axiom,
    ! [X25,X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)),X29)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__le__self) ).

fof(fact_zdiff__zmult__distrib,axiom,
    ! [X12,X49,X50] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X50,X49)),X12) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X50),X12),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X49),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiff__zmult__distrib) ).

fof(fact_diff__mult__distrib,axiom,
    ! [X17,X25,X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)),X17) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__mult__distrib) ).

fof(fact_zero__less__power,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__power) ).

fof(fact_one__le__power,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oone__class_Oone(X6)),X8))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oone__class_Oone(X6)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__le__power) ).

fof(fact_zero__le__power,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__power) ).

fof(fact_subseq__def,axiom,
    ! [X2] :
      ( c_SEQ_Osubseq(X2)
    <=> ! [X53,X4] :
          ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X53),X4))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X53)),hAPP(X2,X4))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subseq__def) ).

fof(fact_power__one__over,axiom,
    ! [X25,X8,X6] :
      ( class_Fields_Ofield__inverse__zero(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Oone__class_Oone(X6)),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Oone__class_Oone(X6)),X8)),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__one__over) ).

fof(fact_natfloor__div__nat,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X14))
       => c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5),c_RealDef_Oreal(tc_Nat_Onat,X14))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X5),X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__div__nat) ).

fof(fact_natfloor__subtract,axiom,
    ! [X5,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X8)),X5))
     => c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,c_RealDef_Oreal(tc_Nat_Onat,X8))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X5),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__subtract) ).

fof(fact_natceiling__subtract,axiom,
    ! [X5,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X8)),X5))
     => c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,c_RealDef_Oreal(tc_Nat_Onat,X8))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X5),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__subtract) ).

fof(fact_BseqD,axiom,
    ! [X52,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_SEQ_OBseq(X6,X52)
       => ? [X57] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X57))
            & ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,hAPP(X52,X4))),X57)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_BseqD) ).

fof(fact_zpower__zadd__distrib,axiom,
    ! [X11,X14,X5] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X14),X11)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5),X14)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5),X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zpower__zadd__distrib) ).

fof(fact_zadd__zmult__distrib2,axiom,
    ! [X49,X50,X12] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X50),X49)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),X50)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),X49)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__zmult__distrib2) ).

fof(fact_add__mult__distrib2,axiom,
    ! [X25,X29,X17] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__mult__distrib2) ).

fof(fact_zero__le__zpower__abs,axiom,
    ! [X25,X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X5)),X25))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__zpower__abs) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
    ! [X8,X29,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),c_Groups_Oone__class_Oone(X6))),X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).

fof(fact_div__add__self1,axiom,
    ! [X8,X7,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X7 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X8),X7) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Divides_Odiv__class_Odiv(X6,X8,X7)),c_Groups_Oone__class_Oone(X6)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__add__self1) ).

fof(fact_div__add__self2,axiom,
    ! [X8,X7,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X7 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7),X7) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Divides_Odiv__class_Odiv(X6,X8,X7)),c_Groups_Oone__class_Oone(X6)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__add__self2) ).

fof(fact_zdiv__zmult2__eq,axiom,
    ! [X7,X8,X9] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X9))
     => c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X7),X9)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7),X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__zmult2__eq) ).

fof(fact_ln__div,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X14))
       => c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5),X14)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(X5),c_Transcendental_Oln(X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__div) ).

fof(fact_realpow__num__eq__if,axiom,
    ! [X29,X25,X6] :
      ( class_Power_Opower(X6)
     => ( ( X25 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X29),X25) = c_Groups_Oone__class_Oone(X6) )
        & ( X25 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X29),X25) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X29),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X29),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__num__eq__if) ).

fof(fact_add__nonneg__eq__0__iff,axiom,
    ! [X21,X13,X6] :
      ( class_Groups_Oordered__comm__monoid__add(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X13))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X21))
         => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X13),X21) = c_Groups_Ozero__class_Ozero(X6)
          <=> ( X13 = c_Groups_Ozero__class_Ozero(X6)
              & X21 = c_Groups_Ozero__class_Ozero(X6) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonneg__eq__0__iff) ).

fof(fact_ln__mult,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X14))
       => c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X5)),c_Transcendental_Oln(X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__mult) ).

fof(fact_le__imp__0__less,axiom,
    ! [X11] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X11))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__imp__0__less) ).

fof(fact_less__natfloor,axiom,
    ! [X25,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5),c_RealDef_Oreal(tc_Nat_Onat,X25)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X5)),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__natfloor) ).

fof(fact_natceiling__le__eq,axiom,
    ! [X10,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X13)),X10))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),c_RealDef_Oreal(tc_Nat_Onat,X10))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__le__eq) ).

fof(fact_mult_Odiff__right,axiom,
    ! [X48,X7,X8,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),c_Groups_Ominus__class_Ominus(X6,X7,X48)) = c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X48)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Odiff__right) ).

fof(fact_mult__right_Odiff,axiom,
    ! [X14,X5,X47,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X47),c_Groups_Ominus__class_Ominus(X6,X5,X14)) = c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X47),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X47),X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Odiff) ).

fof(fact_nat__mult__div__cancel1,axiom,
    ! [X25,X29,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X17))
     => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X25)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__div__cancel1) ).

fof(fact_diff__diff__right,axiom,
    ! [X19,X18,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X18))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X19,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X17)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X17),X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__diff__right) ).

fof(fact_realpow__pos__nth,axiom,
    ! [X8,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X8))
       => ? [X82] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X82))
            & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X82),X25) = X8 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_realpow__pos__nth) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X5,X14))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J) ).

fof(fact_power__commutes,axiom,
    ! [X25,X8,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)),X8) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__commutes) ).

fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oab__semigroup__mult(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),X9) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9)) ),
    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,
    ! [X36,X38,X37,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X38)),X36) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X38),X36)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),X9) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).

fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Oab__semigroup__add(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7)),X9) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ab__semigroup__add__class_Oadd__ac_I1_J) ).

fof(fact_times__divide__eq__right,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Rings_Odivision__ring(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X7),X9)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)),X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_times__divide__eq__right) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
    ! [X35,X36,X37,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X36),X35)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X36)),X35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
    ! [X20,X9,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X20)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)),X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).

fof(fact_sgn__less,axiom,
    ! [X10,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Osgn__class_Osgn(X6,X10)),c_Groups_Ozero__class_Ozero(X6)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),c_Groups_Ozero__class_Ozero(X6))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__less) ).

fof(fact_diff__add__assoc,axiom,
    ! [X19,X18,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X18))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18),X17) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__assoc) ).

fof(fact_add__diff__assoc,axiom,
    ! [X19,X18,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X18))
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X17)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18),X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__assoc) ).

fof(fact_real__of__nat__less__iff,axiom,
    ! [X31,X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X30)),c_RealDef_Oreal(tc_Nat_Onat,X31)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X31)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__less__iff) ).

fof(fact_real__of__nat__le__iff,axiom,
    ! [X31,X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X30)),c_RealDef_Oreal(tc_Nat_Onat,X31)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X31)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__le__iff) ).

fof(fact_abs__add__abs,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => c_Groups_Oabs__class_Oabs(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Oabs__class_Oabs(X6,X7))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Oabs__class_Oabs(X6,X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__abs) ).

fof(fact_eq__diff__iff,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X31))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X30))
       => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X31,X33) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X33)
        <=> X31 = X30 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__diff__iff) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
    ! [X25,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5),X25))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J) ).

fof(fact_power__mult,axiom,
    ! [X25,X29,X8,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25)) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X29)),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__mult) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
    ! [X64,X65,X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X65)),X64) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X65),X64)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J) ).

fof(fact_power__eq__if,axiom,
    ! [X65,X29] :
      ( ( X29 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X65),X29) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
      & ( X29 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X65),X29) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X65),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X65),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__eq__if) ).

fof(fact_odd__nonzero,axiom,
    ! [X11] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X11)),X11) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_odd__nonzero) ).

fof(fact_abs__Re__le__cmod,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X5))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__Re__le__cmod) ).

fof(fact_abs__Im__le__cmod,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X5))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__Im__le__cmod) ).

fof(fact_abs__mult__pos,axiom,
    ! [X14,X5,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X5))
       => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oabs__class_Oabs(X6,X14)),X5) = c_Groups_Oabs__class_Oabs(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__mult__pos) ).

fof(fact_zero__less__two,axiom,
    ! [X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Oone__class_Oone(X6)),c_Groups_Oone__class_Oone(X6)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__two) ).

fof(fact_diff__eq__diff__less,axiom,
    ! [X43,X15,X16,X10,X6] :
      ( class_Groups_Oordered__ab__group__add(X6)
     => ( c_Groups_Ominus__class_Ominus(X6,X10,X16) = c_Groups_Ominus__class_Ominus(X6,X15,X43)
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X10),X16))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X15),X43)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__eq__diff__less) ).

fof(fact_diff__eq__diff__less__eq,axiom,
    ! [X43,X15,X16,X10,X6] :
      ( class_Groups_Oordered__ab__group__add(X6)
     => ( c_Groups_Ominus__class_Ominus(X6,X10,X16) = c_Groups_Ominus__class_Ominus(X6,X15,X43)
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X10),X16))
        <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X15),X43)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__eq__diff__less__eq) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
    ! [X29,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X29),X29) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Oone__class_Oone(X6)),c_Groups_Oone__class_Oone(X6))),X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).

fof(fact_ln__less__zero__iff,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X13)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
      <=> hBOOL(hAPP(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_ln__less__zero__iff) ).

fof(fact_ln__gt__zero__iff,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X13)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__gt__zero__iff) ).

fof(fact_ln__gt__zero__imp__gt__one,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X5)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__gt__zero__imp__gt__one) ).

fof(fact_ln__ge__zero__iff,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X13)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__ge__zero__iff) ).

fof(fact_ln__ge__zero__imp__ge__one,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X5)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__ge__zero__imp__ge__one) ).

fof(fact_abs__add__one__gt__zero,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__one__gt__zero) ).

fof(fact_DeMoivre2,axiom,
    ! [X25,X8,X23] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(X23,X8)),X25) = c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X23),X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),X8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_DeMoivre2) ).

fof(fact_zdiff__zmult__distrib2,axiom,
    ! [X49,X50,X12] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X50,X49)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),X50),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),X49)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiff__zmult__distrib2) ).

fof(fact_diff__mult__distrib2,axiom,
    ! [X25,X29,X17] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__mult__distrib2) ).

fof(fact_abs__le__D1,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oabs__class_Oabs(X6,X8)),X7))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__le__D1) ).

fof(fact_termination__basic__simps_I1_J,axiom,
    ! [X11,X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5),X14))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X14),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I1_J) ).

fof(fact_trans__less__add1,axiom,
    ! [X29,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X29))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trans__less__add1) ).

fof(fact_termination__basic__simps_I2_J,axiom,
    ! [X14,X11,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5),X11))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X14),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I2_J) ).

fof(fact_trans__less__add2,axiom,
    ! [X29,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X18))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trans__less__add2) ).

fof(fact_termination__basic__simps_I3_J,axiom,
    ! [X11,X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),X14))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X14),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I3_J) ).

fof(fact_trans__le__add1,axiom,
    ! [X29,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X29))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trans__le__add1) ).

fof(fact_termination__basic__simps_I4_J,axiom,
    ! [X14,X11,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),X11))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X14),X11))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I4_J) ).

fof(fact_trans__le__add2,axiom,
    ! [X29,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X18))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trans__le__add2) ).

fof(fact_ln__less__zero,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X5)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__less__zero) ).

fof(fact_le__add__diff__inverse2,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X29))
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)),X25) = X29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add__diff__inverse2) ).

fof(fact_sgn__greater,axiom,
    ! [X10,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),c_Groups_Osgn__class_Osgn(X6,X10)))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__greater) ).

fof(fact_real__divide__square__eq,axiom,
    ! [X8,X23] : hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X23)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X8),X23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__divide__square__eq) ).

fof(fact_zpower__zpower,axiom,
    ! [X11,X14,X5] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5),X14)),X11) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X14),X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zpower__zpower) ).

fof(fact_zmult__assoc,axiom,
    ! [X54,X49,X50] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X50),X49)),X54) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X50),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X49),X54)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zmult__assoc) ).

fof(fact_nat__mult__assoc,axiom,
    ! [X17,X25,X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25)),X17) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__assoc) ).

fof(fact_real__mult__assoc,axiom,
    ! [X54,X49,X50] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X50),X49)),X54) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X50),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X49),X54)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__assoc) ).

fof(fact_zadd__assoc,axiom,
    ! [X54,X49,X50] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X50),X49)),X54) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X50),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X49),X54)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__assoc) ).

fof(fact_nat__add__assoc,axiom,
    ! [X17,X25,X29] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25)),X17) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__assoc) ).

fof(fact_real__natfloor__le,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X5))),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__natfloor__le) ).

fof(fact_le__natfloor,axiom,
    ! [X8,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X5)),X8))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),c_RComplete_Onatfloor(X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__natfloor) ).

fof(fact_order__less__trans,axiom,
    ! [X11,X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X11))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X11)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__trans) ).

fof(fact_order__le__less__trans,axiom,
    ! [X11,X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X11))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X11)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__less__trans) ).

fof(fact_order__less__le__trans,axiom,
    ! [X11,X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X11))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X11)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__le__trans) ).

fof(fact_xt1_I10_J,axiom,
    ! [X11,X5,X14,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X11),X14))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X11),X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I10_J) ).

fof(fact_xt1_I8_J,axiom,
    ! [X11,X5,X14,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X11),X14))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X11),X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I8_J) ).

fof(fact_xt1_I7_J,axiom,
    ! [X11,X5,X14,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X11),X14))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X11),X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I7_J) ).

fof(fact_order__trans,axiom,
    ! [X11,X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X11))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X11)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__trans) ).

fof(fact_xt1_I6_J,axiom,
    ! [X11,X5,X14,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X11),X14))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X11),X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I6_J) ).

fof(fact_assms,axiom,
    ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X4))),v_r)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_assms) ).

fof(fact_power__inject__exp,axiom,
    ! [X30,X31,X10,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),X10))
       => ( hAPP(hAPP(c_Power_Opower__class_Opower(X6),X10),X31) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),X10),X30)
        <=> X31 = X30 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__inject__exp) ).

fof(fact_less__add__eq__less,axiom,
    ! [X25,X29,X34,X17] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X17),X34))
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X34) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),X25)
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__eq__less) ).

fof(fact_natfloor__add,axiom,
    ! [X8,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5),c_RealDef_Oreal(tc_Nat_Onat,X8))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X5)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__add) ).

fof(fact_natceiling__add,axiom,
    ! [X8,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5),c_RealDef_Oreal(tc_Nat_Onat,X8))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X5)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__add) ).

fof(fact_real__of__nat__diff,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X29))
     => c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X29),c_RealDef_Oreal(tc_Nat_Onat,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__diff) ).

fof(fact_ln__realpow,axiom,
    ! [X25,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X5),X25)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X25)),c_Transcendental_Oln(X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__realpow) ).

fof(fact_complex__diff,axiom,
    ! [X20,X9,X7,X8] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X8,X7),c_Complex_Ocomplex_OComplex(X9,X20)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X8,X9),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X20)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__diff) ).

fof(fact_div__mult__mult1__if,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( ( X9 = c_Groups_Ozero__class_Ozero(X6)
         => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7)) = c_Groups_Ozero__class_Ozero(X6) )
        & ( X9 != c_Groups_Ozero__class_Ozero(X6)
         => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7)) = c_Divides_Odiv__class_Odiv(X6,X8,X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__mult1__if) ).

fof(fact_div__mult__mult1,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X9 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),X7)) = c_Divides_Odiv__class_Odiv(X6,X8,X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__mult1) ).

fof(fact_div__mult__mult2,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X9 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X9)) = c_Divides_Odiv__class_Odiv(X6,X8,X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__mult2) ).

fof(fact_abs__le__zero__iff,axiom,
    ! [X10,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oabs__class_Oabs(X6,X10)),c_Groups_Ozero__class_Ozero(X6)))
      <=> X10 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__le__zero__iff) ).

fof(fact_zero__le__square,axiom,
    ! [X8,X6] :
      ( class_Rings_Olinordered__ring(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__square) ).

fof(fact_less__add__one,axiom,
    ! [X8,X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),c_Groups_Oone__class_Oone(X6)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__one) ).

fof(fact_rcis__mult,axiom,
    ! [X7,X80,X8,X81] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X81,X8)),c_Complex_Orcis(X80,X7)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X81),X80),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X8),X7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rcis__mult) ).

fof(fact_complex__add,axiom,
    ! [X20,X9,X7,X8] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X8,X7)),c_Complex_Ocomplex_OComplex(X9,X20)) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X8),X9),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X7),X20)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__add) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
    ! [X35,X36,X37,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X36),X35)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X36),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X37),X35)) ),
    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,
    ! [X20,X9,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X20)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X20)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).

fof(fact_zle__trans,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X18),X17))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X19),X17)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__trans) ).

fof(fact_le__trans,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18),X17))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X17)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__trans) ).

fof(fact_real__le__trans,axiom,
    ! [X17,X18,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19),X18))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X18),X17))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19),X17)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).

fof(fact_zdiv__eq__0__iff,axiom,
    ! [X33,X84] :
      ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X84,X33) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    <=> ( X33 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X84))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X84),X33)) )
        | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X84),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),X84)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__eq__0__iff) ).

fof(fact_div__pos__pos__trivial,axiom,
    ! [X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X8))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X8),X7))
       => c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__pos__pos__trivial) ).

fof(fact_Bseq__realpow,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
       => c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bseq__realpow) ).

fof(fact_convergent__realpow,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
       => c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_convergent__realpow) ).

fof(fact_monoseq__realpow,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
       => c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X13)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_monoseq__realpow) ).

fof(fact_diff__commute,axiom,
    ! [X17,X18,X19] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X19,X18),X17) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X19,X17),X18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__commute) ).

fof(fact_div__neg__neg__trivial,axiom,
    ! [X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X8),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X7),X8))
       => c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X7) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__neg__neg__trivial) ).

fof(fact_norm__le__zero__iff,axiom,
    ! [X13,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X13)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
      <=> X13 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__le__zero__iff) ).

fof(fact_natfloor__add__one,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__add__one) ).

fof(fact_natceiling__add__one,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X5)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__add__one) ).

fof(fact_div__mult2__eq,axiom,
    ! [X9,X7,X8] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X8,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X7),X9)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X8,X7),X9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult2__eq) ).

fof(fact_diff__diff__left,axiom,
    ! [X17,X18,X19] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X19,X18),X17) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X19,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__diff__left) ).

fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,
    ! [X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X30)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__gt__zero__cancel__iff) ).

fof(fact_ln__inj__iff,axiom,
    ! [X21,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X21))
       => ( c_Transcendental_Oln(X13) = c_Transcendental_Oln(X21)
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__inj__iff) ).

fof(fact_natceiling__le,axiom,
    ! [X8,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),c_RealDef_Oreal(tc_Nat_Onat,X8)))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X5)),X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__le) ).

fof(fact_nat__mult__div__cancel__disj,axiom,
    ! [X25,X29,X17] :
      ( ( X17 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X25)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X17 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X25)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__div__cancel__disj) ).

fof(fact_nat__mult__eq__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X33))
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X31) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X30)
      <=> X31 = X30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__eq__cancel1) ).

fof(fact_diff__cancel,axiom,
    ! [X25,X29,X17] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),X29),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),X25)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__cancel) ).

fof(fact_diff__cancel2,axiom,
    ! [X25,X17,X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X17),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X17)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__cancel2) ).

fof(fact_div__mult__self1__is__m,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X29),X25) = X29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__self1__is__m) ).

fof(fact_div__mult__self__is__m,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25),X25) = X29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__self__is__m) ).

fof(fact_diff__diff__cancel,axiom,
    ! [X25,X19] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X25))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,X19)) = X19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__diff__cancel) ).

fof(fact_zabs__less__one__iff,axiom,
    ! [X41] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X41)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
    <=> X41 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zabs__less__one__iff) ).

fof(fact_real__of__nat__le__zero__cancel__iff,axiom,
    ! [X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X30)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    <=> X30 = 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_diff__add__cancel,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Ogroup__add(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Ominus__class_Ominus(X6,X8,X7)),X7) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__cancel) ).

fof(fact_zadd__left__commute,axiom,
    ! [X11,X14,X5] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X14),X11)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X14),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5),X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__left__commute) ).

fof(fact_nat__add__left__commute,axiom,
    ! [X11,X14,X5] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X14),X11)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X14),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5),X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__left__commute) ).

fof(fact_le__add__diff__inverse,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X29))
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)) = X29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add__diff__inverse) ).

fof(fact_xt1_I5_J,axiom,
    ! [X5,X14,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
         => X5 = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I5_J) ).

fof(fact_order__antisym,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5))
         => X5 = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__antisym) ).

fof(fact_order__antisym__conv,axiom,
    ! [X13,X21,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X21),X13))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
        <=> X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__antisym__conv) ).

fof(fact_order__eq__iff,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Oorder(X6)
     => ( X13 = X21
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X21),X13)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__eq__iff) ).

fof(fact_zero__less__abs__iff,axiom,
    ! [X10,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),c_Groups_Oabs__class_Oabs(X6,X10)))
      <=> X10 != c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__abs__iff) ).

fof(fact_power_Opower_Opower__0,axiom,
    ! [X10,X75,X76,X6] : hAPP(hAPP(c_Power_Opower_Opower(X6,X76,X75),X10),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X76,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power_Opower_Opower__0) ).

fof(fact_le__square,axiom,
    ! [X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X29))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__square) ).

fof(fact_le__add1,axiom,
    ! [X29,X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X29))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add1) ).

fof(fact_le__add2,axiom,
    ! [X29,X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__add2) ).

fof(fact_norm__divide,axiom,
    ! [X7,X8,X6] :
      ( ( class_Fields_Ofield__inverse__zero(X6)
        & class_RealVector_Oreal__normed__field(X6) )
     => c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X7)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X8)),c_RealVector_Onorm__class_Onorm(X6,X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__divide) ).

fof(fact_sgn__mult,axiom,
    ! [X14,X5,X6] :
      ( class_RealVector_Oreal__normed__div__algebra(X6)
     => c_Groups_Osgn__class_Osgn(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Osgn__class_Osgn(X6,X5)),c_Groups_Osgn__class_Osgn(X6,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__mult) ).

fof(fact_sgn__times,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => c_Groups_Osgn__class_Osgn(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Osgn__class_Osgn(X6,X8)),c_Groups_Osgn__class_Osgn(X6,X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__times) ).

fof(fact_abs__mult,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => c_Groups_Oabs__class_Oabs(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Oabs__class_Oabs(X6,X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__mult) ).

fof(fact_nonzero__norm__divide,axiom,
    ! [X8,X7,X6] :
      ( class_RealVector_Oreal__normed__field(X6)
     => ( X7 != c_Groups_Ozero__class_Ozero(X6)
       => c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X7)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X8)),c_RealVector_Onorm__class_Onorm(X6,X7)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__norm__divide) ).

fof(fact_le__imp__diff__is__add,axiom,
    ! [X33,X85,X84] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),X85))
     => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X85,X84) = X33
      <=> X85 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X84) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__imp__diff__is__add) ).

fof(fact_natceiling__le__eq__one,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X13)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    <=> hBOOL(hAPP(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_natceiling__le__eq__one) ).

fof(fact_norm__minus__commute,axiom,
    ! [X7,X8,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ominus__class_Ominus(X6,X8,X7)) = c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ominus__class_Ominus(X6,X7,X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__minus__commute) ).

fof(fact_abs__minus__commute,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X8,X7)) = c_Groups_Oabs__class_Oabs(X6,c_Groups_Ominus__class_Ominus(X6,X7,X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__minus__commute) ).

fof(fact_norm__mult,axiom,
    ! [X14,X5,X6] :
      ( class_RealVector_Oreal__normed__div__algebra(X6)
     => c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X14)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X5)),c_RealVector_Onorm__class_Onorm(X6,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__mult) ).

fof(fact_le__natfloor__eq__one,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X13)))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__natfloor__eq__one) ).

fof(fact_zle__antisym,axiom,
    ! [X12,X11] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X11),X12))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X12),X11))
       => X11 = X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__antisym) ).

fof(fact_le__antisym,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X29))
       => X29 = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__antisym) ).

fof(fact_real__le__antisym,axiom,
    ! [X12,X11] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X12))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12),X11))
       => X11 = X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__antisym) ).

fof(fact_ln__gt__zero,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__gt__zero) ).

fof(fact_ln__ge__zero,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__ge__zero) ).

fof(fact_ln__less__self,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X5)),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__less__self) ).

fof(fact_nat__less__cases,axiom,
    ! [X39,X30,X31] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30))
       => hBOOL(hAPP(hAPP(X39,X30),X31)) )
     => ( ( X31 = X30
         => hBOOL(hAPP(hAPP(X39,X30),X31)) )
       => ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X31))
           => hBOOL(hAPP(hAPP(X39,X30),X31)) )
         => hBOOL(hAPP(hAPP(X39,X30),X31)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__less__cases) ).

fof(fact_zero__less__norm__iff,axiom,
    ! [X13,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X6,X13)))
      <=> X13 != c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__norm__iff) ).

fof(fact_natfloor__mono,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),X14))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X5)),c_RComplete_Onatfloor(X14))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__mono) ).

fof(fact_natceiling__mono,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),X14))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X5)),c_RComplete_Onatceiling(X14))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__mono) ).

fof(fact_power__abs,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => c_Groups_Oabs__class_Oabs(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25)) = hAPP(hAPP(c_Power_Opower__class_Opower(X6),c_Groups_Oabs__class_Oabs(X6,X8)),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__abs) ).

fof(fact_int__one__le__iff__zero__less,axiom,
    ! [X41] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X41))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X41)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_int__one__le__iff__zero__less) ).

fof(fact_norm__power,axiom,
    ! [X25,X5,X6] :
      ( class_RealVector_Oreal__normed__div__algebra(X6)
     => c_RealVector_Onorm__class_Onorm(X6,hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X25)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X5)),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__power) ).

fof(fact_xt1_I11_J,axiom,
    ! [X8,X7,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),X8))
       => ( X8 != X7
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X8)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I11_J) ).

fof(fact_order__le__neq__trans,axiom,
    ! [X7,X8,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
       => ( X8 != X7
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__neq__trans) ).

fof(fact_order__le__imp__less__or__eq,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
          | X5 = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__imp__less__or__eq) ).

fof(fact_order__neq__le__trans,axiom,
    ! [X7,X8,X6] :
      ( class_Orderings_Oorder(X6)
     => ( X8 != X7
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),X7))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__neq__le__trans) ).

fof(fact_order__le__less,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
          | X13 = X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__less) ).

fof(fact_order__less__le,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
          & X13 != X21 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__le) ).

fof(fact_xt1_I12_J,axiom,
    ! [X7,X8,X6] :
      ( class_Orderings_Oorder(X6)
     => ( X8 != X7
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X7),X8))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X8)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I12_J) ).

fof(fact_pos__zmult__eq__1__iff,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X31))
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X31),X30) = c_Groups_Oone__class_Oone(tc_Int_Oint)
      <=> ( X31 = c_Groups_Oone__class_Oone(tc_Int_Oint)
          & X30 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__zmult__eq__1__iff) ).

fof(fact_order__less__imp__le,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__le) ).

fof(fact_real__of__nat__mult,axiom,
    ! [X25,X29] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),c_RealDef_Oreal(tc_Nat_Onat,X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__mult) ).

fof(fact_real__of__nat__add,axiom,
    ! [X25,X29] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),c_RealDef_Oreal(tc_Nat_Onat,X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__add) ).

fof(fact_Re_Oadd,axiom,
    ! [X14,X5] : hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X5),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5)),hAPP(c_Complex_ORe,X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re_Oadd) ).

fof(fact_Im_Oadd,axiom,
    ! [X14,X5] : hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X5),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5)),hAPP(c_Complex_OIm,X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Oadd) ).

fof(fact_Re_Odiff,axiom,
    ! [X14,X5] : hAPP(c_Complex_ORe,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,X14)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X5),hAPP(c_Complex_ORe,X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re_Odiff) ).

fof(fact_Im_Odiff,axiom,
    ! [X14,X5] : hAPP(c_Complex_OIm,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,X14)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X5),hAPP(c_Complex_OIm,X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Odiff) ).

fof(fact_complex__Re__le__cmod,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X5)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__Re__le__cmod) ).

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

fof(fact_nat__less__le,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30))
        & X31 != X30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__less__le) ).

fof(fact_le__eq__less__or__eq,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30))
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30))
        | X31 = X30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__eq__less__or__eq) ).

fof(fact_le__neq__implies__less,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
     => ( X29 != X25
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__neq__implies__less) ).

fof(fact_real__less__def,axiom,
    ! [X21,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13),X21))
    <=> ( hBOOL(hAPP(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_less__eq__real__def,axiom,
    ! [X21,X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),X21))
    <=> ( hBOOL(hAPP(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_termination__basic__simps_I5_J,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5),X14))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I5_J) ).

fof(fact_less__imp__le__nat,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__imp__le__nat) ).

fof(fact_less__or__eq__imp__le,axiom,
    ! [X25,X29] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
        | X29 = X25 )
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__or__eq__imp__le) ).

fof(fact_power__real__of__nat,axiom,
    ! [X25,X29] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),X25) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X29),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__real__of__nat) ).

fof(fact_real__of__nat__power,axiom,
    ! [X25,X29] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X29),X25)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__power) ).

fof(fact_sgn__1__pos,axiom,
    ! [X10,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( c_Groups_Osgn__class_Osgn(X6,X10) = c_Groups_Oone__class_Oone(X6)
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__1__pos) ).

fof(fact_sgn__pos,axiom,
    ! [X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => c_Groups_Osgn__class_Osgn(X6,X8) = c_Groups_Oone__class_Oone(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__pos) ).

fof(fact_le__Suc__ex__iff,axiom,
    ! [X55,X33] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X55))
    <=> ? [X4] : X55 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__Suc__ex__iff) ).

fof(fact_le__iff__add,axiom,
    ! [X30,X31] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30))
    <=> ? [X32] : X30 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__iff__add) ).

fof(fact_abs__of__pos,axiom,
    ! [X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => c_Groups_Oabs__class_Oabs(X6,X8) = X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__pos) ).

fof(fact_abs__of__nonneg,axiom,
    ! [X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),X8))
       => c_Groups_Oabs__class_Oabs(X6,X8) = X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__nonneg) ).

fof(fact_abs__mult__self,axiom,
    ! [X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Oabs__class_Oabs(X6,X8)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__mult__self) ).

fof(fact_tsub__eq,axiom,
    ! [X5,X14] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14),X5))
     => c_Nat__Transfer_Otsub(X5,X14) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_tsub__eq) ).

fof(fact_diff__eq__diff__eq,axiom,
    ! [X43,X15,X16,X10,X6] :
      ( class_Groups_Oab__group__add(X6)
     => ( c_Groups_Ominus__class_Ominus(X6,X10,X16) = c_Groups_Ominus__class_Ominus(X6,X15,X43)
       => ( X10 = X16
        <=> X15 = X43 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__eq__diff__eq) ).

fof(fact_natfloor__power,axiom,
    ! [X25,X5] :
      ( X5 = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X5))
     => c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X5),X25)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X5)),X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__power) ).

fof(fact_abs__zmult__eq__1,axiom,
    ! [X25,X29] :
      ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X29),X25)) = c_Groups_Oone__class_Oone(tc_Int_Oint)
     => c_Groups_Oabs__class_Oabs(tc_Int_Oint,X29) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__zmult__eq__1) ).

fof(fact_diffs0__imp__equal,axiom,
    ! [X25,X29] :
      ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
     => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
       => X29 = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diffs0__imp__equal) ).

fof(fact_div__less,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__less) ).

fof(fact_diff__is__0__eq,axiom,
    ! [X30,X31] :
      ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X31,X30) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__is__0__eq) ).

fof(fact_diff__is__0__eq_H,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__is__0__eq_H) ).

fof(fact_linorder__neq__iff,axiom,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( X13 != X21
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
          | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X21),X13)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neq__iff) ).

fof(fact_linorder__less__linear,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
        | X5 = X14
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__less__linear) ).

fof(fact_add__right__cancel,axiom,
    ! [X15,X10,X16,X6] :
      ( class_Groups_Ocancel__semigroup__add(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X16),X10) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X15),X10)
      <=> X16 = X15 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__right__cancel) ).

fof(fact_add__right__imp__eq,axiom,
    ! [X9,X8,X7,X6] :
      ( class_Groups_Ocancel__semigroup__add(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X7),X8) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X8)
       => X7 = X9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__right__imp__eq) ).

fof(fact_add__imp__eq,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Ocancel__ab__semigroup__add(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)
       => X7 = X9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__imp__eq) ).

fof(fact_add__left__cancel,axiom,
    ! [X15,X16,X10,X6] :
      ( class_Groups_Ocancel__semigroup__add(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X16) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X15)
      <=> X16 = X15 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__left__cancel) ).

fof(fact_add__left__imp__eq,axiom,
    ! [X9,X7,X8,X6] :
      ( class_Groups_Ocancel__semigroup__add(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9)
       => X7 = X9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__left__imp__eq) ).

fof(fact_linorder__le__less__linear,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__le__less__linear) ).

fof(fact_linorder__linear,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__linear) ).

fof(fact_div__mult__self1__is__id,axiom,
    ! [X8,X7,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X7 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X8),X7) = X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__self1__is__id) ).

fof(fact_div__mult__self2__is__id,axiom,
    ! [X8,X7,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X7 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7),X7) = X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__mult__self2__is__id) ).

fof(fact_abs__ge__zero,axiom,
    ! [X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),c_Groups_Oabs__class_Oabs(X6,X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__ge__zero) ).

fof(fact_add__diff__cancel,axiom,
    ! [X7,X8,X6] :
      ( class_Groups_Ogroup__add(X6)
     => c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X7),X7) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__cancel) ).

fof(fact_expi__add,axiom,
    ! [X7,X8] : c_Complex_Oexpi(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X8),X7)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(X8)),c_Complex_Oexpi(X7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_expi__add) ).

fof(fact_zless__linear,axiom,
    ! [X14,X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X14))
      | X5 = X14
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X14),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zless__linear) ).

fof(fact_nat__neq__iff,axiom,
    ! [X30,X31] :
      ( X31 != X30
    <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X31)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__neq__iff) ).

fof(fact_real__sgn__pos,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5))
     => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X5) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sgn__pos) ).

fof(fact_ln__eq__zero__iff,axiom,
    ! [X13] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X13))
     => ( c_Transcendental_Oln(X13) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
      <=> X13 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__eq__zero__iff) ).

fof(fact_zle__linear,axiom,
    ! [X12,X11] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X11),X12))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X12),X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__linear) ).

fof(fact_nat__le__linear,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__le__linear) ).

fof(fact_real__le__linear,axiom,
    ! [X12,X11] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X12))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12),X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).

fof(fact_mult__cancel2,axiom,
    ! [X30,X33,X31] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X33) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X33)
    <=> ( X31 = X30
        | X33 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__cancel2) ).

fof(fact_real__mult__right__cancel,axiom,
    ! [X16,X10,X15] :
      ( X15 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X15) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X16),X15)
      <=> X10 = X16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__right__cancel) ).

fof(fact_nat__mult__eq__cancel__disj,axiom,
    ! [X30,X31,X33] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X31) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X30)
    <=> ( X33 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X31 = X30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__eq__cancel__disj) ).

fof(fact_mult__cancel1,axiom,
    ! [X30,X31,X33] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X31) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X30)
    <=> ( X31 = X30
        | X33 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__cancel1) ).

fof(fact_real__mult__left__cancel,axiom,
    ! [X16,X10,X15] :
      ( X15 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X15),X10) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X15),X16)
      <=> X10 = X16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__left__cancel) ).

fof(fact_Re__sgn,axiom,
    ! [X11] : hAPP(c_Complex_ORe,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X11)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X11)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re__sgn) ).

fof(fact_Im__sgn,axiom,
    ! [X11] : hAPP(c_Complex_OIm,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X11)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X11)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im__sgn) ).

fof(fact_divide__eq__imp,axiom,
    ! [X8,X7,X9,X6] :
      ( class_Rings_Odivision__ring(X6)
     => ( X9 != c_Groups_Ozero__class_Ozero(X6)
       => ( X7 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9)
         => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X7),X9) = X8 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__eq__imp) ).

fof(fact_nonzero__divide__eq__eq,axiom,
    ! [X10,X16,X15,X6] :
      ( class_Rings_Odivision__ring(X6)
     => ( X15 != c_Groups_Ozero__class_Ozero(X6)
       => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X16),X15) = X10
        <=> X16 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X15) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__divide__eq__eq) ).

fof(fact_nonzero__eq__divide__eq,axiom,
    ! [X16,X10,X15,X6] :
      ( class_Rings_Odivision__ring(X6)
     => ( X15 != c_Groups_Ozero__class_Ozero(X6)
       => ( X10 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X16),X15)
        <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X15) = X16 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__eq__divide__eq) ).

fof(fact_eq__divide__imp,axiom,
    ! [X7,X8,X9,X6] :
      ( class_Rings_Odivision__ring(X6)
     => ( X9 != c_Groups_Ozero__class_Ozero(X6)
       => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X9) = X7
         => X8 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X7),X9) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__divide__imp) ).

fof(fact_norm__ge__zero,axiom,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X6,X5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__ge__zero) ).

fof(fact_nat__add__right__cancel,axiom,
    ! [X30,X33,X31] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X33) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X33)
    <=> X31 = X30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__right__cancel) ).

fof(fact_nat__add__left__cancel,axiom,
    ! [X30,X31,X33] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X31) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X30)
    <=> X31 = X30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__left__cancel) ).

fof(fact_real__natceiling__ge,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X5)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__natceiling__ge) ).

fof(fact_diff__add__0,axiom,
    ! [X29,X25] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X25,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X29)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__0) ).

fof(fact_neq0__conv,axiom,
    ! [X30] :
      ( X30 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X30)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_neq0__conv) ).

fof(fact_diff__add__inverse,axiom,
    ! [X29,X25] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X29),X25) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__inverse) ).

fof(fact_diff__add__inverse2,axiom,
    ! [X25,X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25),X25) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__inverse2) ).

fof(fact_abs__ge__self,axiom,
    ! [X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X8),c_Groups_Oabs__class_Oabs(X6,X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__ge__self) ).

fof(fact_order__less__imp__not__eq2,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => X14 != X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__not__eq2) ).

fof(fact_order__less__imp__not__eq,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => X5 != X14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__not__eq) ).

fof(fact_less__imp__neq,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => X5 != X14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__imp__neq) ).

fof(fact_mult__sgn__abs,axiom,
    ! [X5,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Osgn__class_Osgn(X6,X5)),c_Groups_Oabs__class_Oabs(X6,X5)) = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__sgn__abs) ).

fof(fact_natfloor__neg,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
     => c_RComplete_Onatfloor(X5) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__neg) ).

fof(fact_natceiling__neg,axiom,
    ! [X5] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
     => c_RComplete_Onatceiling(X5) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__neg) ).

fof(fact_seq__suble,axiom,
    ! [X30,X2] :
      ( c_SEQ_Osubseq(X2)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),hAPP(X2,X30))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_seq__suble) ).

fof(fact_real__of__nat__ge__zero,axiom,
    ! [X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X25))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__ge__zero) ).

fof(fact_le__0__eq,axiom,
    ! [X30] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    <=> X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__0__eq) ).

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_zero__less__one,axiom,
    ! [X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6)),c_Groups_Oone__class_Oone(X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__one) ).

fof(fact_zero__le__one,axiom,
    ! [X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Ozero__class_Ozero(X6)),c_Groups_Oone__class_Oone(X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__one) ).

fof(fact_gr__implies__not0,axiom,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => X25 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gr__implies__not0) ).

fof(fact_convergent__const,axiom,
    ! [X15,X6] :
      ( class_RealVector_Ometric__space(X6)
     => c_SEQ_Oconvergent(X6,c_COMBK(X6,tc_Nat_Onat,X15)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_convergent__const) ).

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_power__eq__0__iff,axiom,
    ! [X30,X10,X6] :
      ( ( class_Power_Opower(X6)
        & class_Rings_Omult__zero(X6)
        & class_Rings_Ono__zero__divisors(X6)
        & class_Rings_Ozero__neq__one(X6) )
     => ( hAPP(hAPP(c_Power_Opower__class_Opower(X6),X10),X30) = c_Groups_Ozero__class_Ozero(X6)
      <=> ( X10 = c_Groups_Ozero__class_Ozero(X6)
          & X30 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__eq__0__iff) ).

fof(fact_less__not__refl2,axiom,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X29))
     => X29 != X25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__not__refl2) ).

fof(fact_less__not__refl3,axiom,
    ! [X40,X22] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X22),X40))
     => X22 != X40 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__not__refl3) ).

fof(help_c__COMBK__1,axiom,
    ! [X105,X106,X24,X6] : hAPP(c_COMBK(X6,X24,X106),X105) = X106,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).

fof(fact_complex_Osimps_I2_J,axiom,
    ! [X95,X96,X101,X6] : c_Complex_Ocomplex_Ocomplex__case(X6,X101,c_Complex_Ocomplex_OComplex(X96,X95)) = hAPP(hAPP(X101,X96),X95),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex_Osimps_I2_J) ).

fof(fact_complex_Orecs,axiom,
    ! [X95,X96,X101,X6] : c_Complex_Ocomplex_Ocomplex__rec(X6,X101,c_Complex_Ocomplex_OComplex(X96,X95)) = hAPP(hAPP(X101,X96),X95),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex_Orecs) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X7),X8) ),
    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,
    ! [X9,X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),X9) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X9),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

fof(fact_mult__eq__0__iff,axiom,
    ! [X16,X10,X6] :
      ( class_Rings_Oring__no__zero__divisors(X6)
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X10),X16) = c_Groups_Ozero__class_Ozero(X6)
      <=> ( X10 = c_Groups_Ozero__class_Ozero(X6)
          | X16 = c_Groups_Ozero__class_Ozero(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__eq__0__iff) ).

fof(fact_no__zero__divisors,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Ono__zero__divisors(X6)
     => ( X8 != c_Groups_Ozero__class_Ozero(X6)
       => ( X7 != c_Groups_Ozero__class_Ozero(X6)
         => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7) != c_Groups_Ozero__class_Ozero(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_no__zero__divisors) ).

fof(fact_divisors__zero,axiom,
    ! [X7,X8,X6] :
      ( class_Rings_Ono__zero__divisors(X6)
     => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X7) = c_Groups_Ozero__class_Ozero(X6)
       => ( X8 = c_Groups_Ozero__class_Ozero(X6)
          | X7 = c_Groups_Ozero__class_Ozero(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divisors__zero) ).

fof(fact_right__inverse__eq,axiom,
    ! [X10,X16,X6] :
      ( class_Rings_Odivision__ring(X6)
     => ( X16 != c_Groups_Ozero__class_Ozero(X6)
       => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X10),X16) = c_Groups_Oone__class_Oone(X6)
        <=> X10 = X16 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_right__inverse__eq) ).

fof(fact_eq__iff__diff__eq__0,axiom,
    ! [X16,X10,X6] :
      ( class_Groups_Oab__group__add(X6)
     => ( X10 = X16
      <=> c_Groups_Ominus__class_Ominus(X6,X10,X16) = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__iff__diff__eq__0) ).

fof(fact_right__minus__eq,axiom,
    ! [X16,X10,X6] :
      ( class_Groups_Ogroup__add(X6)
     => ( c_Groups_Ominus__class_Ominus(X6,X10,X16) = c_Groups_Ozero__class_Ozero(X6)
      <=> X10 = X16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_right__minus__eq) ).

fof(fact_field__power__not__zero,axiom,
    ! [X25,X8,X6] :
      ( class_Rings_Oring__1__no__zero__divisors(X6)
     => ( X8 != c_Groups_Ozero__class_Ozero(X6)
       => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),X25) != c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_field__power__not__zero) ).

fof(fact_double__eq__0__iff,axiom,
    ! [X10,X6] :
      ( class_Groups_Olinordered__ab__group__add(X6)
     => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X10) = c_Groups_Ozero__class_Ozero(X6)
      <=> X10 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__eq__0__iff) ).

fof(fact_double__zero__sym,axiom,
    ! [X10,X6] :
      ( class_Groups_Olinordered__ab__group__add(X6)
     => ( c_Groups_Ozero__class_Ozero(X6) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X10),X10)
      <=> X10 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__zero__sym) ).

fof(fact_zero__le__natfloor,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__natfloor) ).

fof(fact_zero__le__natceiling,axiom,
    ! [X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__natceiling) ).

fof(fact_abs__sgn,axiom,
    ! [X17,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => c_Groups_Oabs__class_Oabs(X6,X17) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X17),c_Groups_Osgn__class_Osgn(X6,X17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__sgn) ).

fof(fact_add__0__iff,axiom,
    ! [X10,X16,X6] :
      ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
     => ( X16 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X16),X10)
      <=> X10 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__iff) ).

fof(fact_order__eq__refl,axiom,
    ! [X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( X5 = X14
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__eq__refl) ).

fof(fact_gr0I,axiom,
    ! [X25] :
      ( X25 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gr0I) ).

fof(fact_zmult__commute,axiom,
    ! [X12,X11] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X11),X12) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zmult__commute) ).

fof(fact_nat__mult__commute,axiom,
    ! [X25,X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__commute) ).

fof(fact_real__mult__commute,axiom,
    ! [X12,X11] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X11),X12) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X12),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).

fof(fact_zadd__commute,axiom,
    ! [X12,X11] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X11),X12) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X12),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__commute) ).

fof(fact_nat__add__commute,axiom,
    ! [X25,X29] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__commute) ).

fof(fact_order__refl,axiom,
    ! [X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__refl) ).

fof(fact_power__0__left,axiom,
    ! [X25,X6] :
      ( ( class_Power_Opower(X6)
        & class_Rings_Osemiring__0(X6) )
     => ( ( X25 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => hAPP(hAPP(c_Power_Opower__class_Opower(X6),c_Groups_Ozero__class_Ozero(X6)),X25) = c_Groups_Oone__class_Oone(X6) )
        & ( X25 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
         => hAPP(hAPP(c_Power_Opower__class_Opower(X6),c_Groups_Ozero__class_Ozero(X6)),X25) = c_Groups_Ozero__class_Ozero(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__0__left) ).

fof(fact_less__eq__nat_Osimps_I1_J,axiom,
    ! [X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__nat_Osimps_I1_J) ).

fof(fact_le0,axiom,
    ! [X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le0) ).

fof(fact_mult__is__0,axiom,
    ! [X30,X31] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X30) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__is__0) ).

fof(fact_mult__eq__self__implies__10,axiom,
    ! [X25,X29] :
      ( X29 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X25)
     => ( X25 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | X29 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__eq__self__implies__10) ).

fof(fact_real__sgn__eq,axiom,
    ! [X5] : c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X5) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sgn__eq) ).

fof(fact_complex__equality,axiom,
    ! [X14,X5] :
      ( hAPP(c_Complex_ORe,X5) = hAPP(c_Complex_ORe,X14)
     => ( hAPP(c_Complex_OIm,X5) = hAPP(c_Complex_OIm,X14)
       => X5 = X14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__equality) ).

fof(fact_expand__complex__eq,axiom,
    ! [X21,X13] :
      ( X13 = X21
    <=> ( hAPP(c_Complex_ORe,X13) = hAPP(c_Complex_ORe,X21)
        & hAPP(c_Complex_OIm,X13) = hAPP(c_Complex_OIm,X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_expand__complex__eq) ).

fof(fact_nat__mult__eq__1__iff,axiom,
    ! [X30,X31] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X30) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
    <=> ( X31 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
        & X30 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__eq__1__iff) ).

fof(fact_add__is__0,axiom,
    ! [X30,X31] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X30) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    <=> ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        & X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__is__0) ).

fof(fact_nat__1__eq__mult__iff,axiom,
    ! [X30,X31] :
      ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X30)
    <=> ( X31 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
        & X30 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__1__eq__mult__iff) ).

fof(fact_eq__imp__le,axiom,
    ! [X25,X29] :
      ( X29 = X25
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_eq__imp__le) ).

fof(fact_power__power__power,axiom,
    ! [X6] :
      ( class_Power_Opower(X6)
     => c_Power_Opower__class_Opower(X6) = c_Power_Opower_Opower(X6,c_Groups_Oone__class_Oone(X6),c_Groups_Otimes__class_Otimes(X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__power__power) ).

fof(fact_add__eq__self__zero,axiom,
    ! [X25,X29] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X25) = X29
     => X25 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__self__zero) ).

fof(fact_zle__refl,axiom,
    ! [X12] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X12),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zle__refl) ).

fof(fact_le__refl,axiom,
    ! [X25] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__refl) ).

fof(fact_real__le__refl,axiom,
    ! [X12] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12),X12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__refl) ).

fof(fact_divide__zero__left,axiom,
    ! [X8,X6] :
      ( class_Rings_Odivision__ring(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Ozero__class_Ozero(X6)),X8) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__zero__left) ).

fof(fact_divide_Ozero,axiom,
    ! [X14,X6] :
      ( class_RealVector_Oreal__normed__field(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),c_Groups_Ozero__class_Ozero(X6)),X14) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide_Ozero) ).

fof(fact_power__one,axiom,
    ! [X25,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),c_Groups_Oone__class_Oone(X6)),X25) = c_Groups_Oone__class_Oone(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__one) ).

fof(fact_mult__zero__left,axiom,
    ! [X8,X6] :
      ( class_Rings_Omult__zero(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ozero__class_Ozero(X6)),X8) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__zero__left) ).

fof(fact_mult_Ozero__left,axiom,
    ! [X7,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ozero__class_Ozero(X6)),X7) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ozero__left) ).

fof(fact_mult__left_Ozero,axiom,
    ! [X14,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ozero__class_Ozero(X6)),X14) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left_Ozero) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
    ! [X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Ozero__class_Ozero(X6)),X8) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).

fof(fact_mult__1__left,axiom,
    ! [X8,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oone__class_Oone(X6)),X8) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__1__left) ).

fof(fact_mult__1,axiom,
    ! [X8,X6] :
      ( class_Groups_Ocomm__monoid__mult(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oone__class_Oone(X6)),X8) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__1) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
    ! [X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Groups_Oone__class_Oone(X6)),X8) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
    ! [X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Ozero__class_Ozero(X6)),X8) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).

fof(fact_add__0__left,axiom,
    ! [X8,X6] :
      ( class_Groups_Omonoid__add(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Ozero__class_Ozero(X6)),X8) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__left) ).

fof(fact_add__0,axiom,
    ! [X8,X6] :
      ( class_Groups_Ocomm__monoid__add(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),c_Groups_Ozero__class_Ozero(X6)),X8) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0) ).

fof(fact_divide__self__if,axiom,
    ! [X8,X6] :
      ( class_Rings_Odivision__ring__inverse__zero(X6)
     => ( ( X8 = c_Groups_Ozero__class_Ozero(X6)
         => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X8) = c_Groups_Ozero__class_Ozero(X6) )
        & ( X8 != c_Groups_Ozero__class_Ozero(X6)
         => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X8) = c_Groups_Oone__class_Oone(X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__self__if) ).

fof(fact_div__0,axiom,
    ! [X8,X6] :
      ( class_Divides_Osemiring__div(X6)
     => c_Divides_Odiv__class_Odiv(X6,c_Groups_Ozero__class_Ozero(X6),X8) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__0) ).

fof(fact_div__by__0,axiom,
    ! [X8,X6] :
      ( class_Divides_Osemiring__div(X6)
     => c_Divides_Odiv__class_Odiv(X6,X8,c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__by__0) ).

fof(fact_div__self,axiom,
    ! [X8,X6] :
      ( class_Divides_Osemiring__div(X6)
     => ( X8 != c_Groups_Ozero__class_Ozero(X6)
       => c_Divides_Odiv__class_Odiv(X6,X8,X8) = c_Groups_Oone__class_Oone(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__self) ).

fof(fact_divide__zero,axiom,
    ! [X8,X6] :
      ( class_Rings_Odivision__ring__inverse__zero(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__zero) ).

fof(fact_mult__zero__right,axiom,
    ! [X8,X6] :
      ( class_Rings_Omult__zero(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__zero__right) ).

fof(fact_mult_Ozero__right,axiom,
    ! [X8,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ozero__right) ).

fof(fact_mult__right_Ozero,axiom,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__algebra(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__right_Ozero) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
    ! [X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).

fof(fact_divide__self,axiom,
    ! [X8,X6] :
      ( class_Rings_Odivision__ring(X6)
     => ( X8 != c_Groups_Ozero__class_Ozero(X6)
       => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),X8) = c_Groups_Oone__class_Oone(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__self) ).

fof(fact_div__by__1,axiom,
    ! [X8,X6] :
      ( class_Divides_Osemiring__div(X6)
     => c_Divides_Odiv__class_Odiv(X6,X8,c_Groups_Oone__class_Oone(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_div__by__1) ).

fof(fact_diff__0__right,axiom,
    ! [X8,X6] :
      ( class_Groups_Ogroup__add(X6)
     => c_Groups_Ominus__class_Ominus(X6,X8,c_Groups_Ozero__class_Ozero(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__0__right) ).

fof(fact_power__0,axiom,
    ! [X8,X6] :
      ( class_Power_Opower(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__0) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
    ! [X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).

fof(fact_divide__1,axiom,
    ! [X8,X6] :
      ( class_Rings_Odivision__ring(X6)
     => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X6),X8),c_Groups_Oone__class_Oone(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__1) ).

fof(fact_mult__1__right,axiom,
    ! [X8,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),c_Groups_Oone__class_Oone(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__1__right) ).

fof(fact_mult_Ocomm__neutral,axiom,
    ! [X8,X6] :
      ( class_Groups_Ocomm__monoid__mult(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),c_Groups_Oone__class_Oone(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult_Ocomm__neutral) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
    ! [X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),c_Groups_Oone__class_Oone(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
    ! [X8,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),c_Groups_Ozero__class_Ozero(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).

fof(fact_add__0__right,axiom,
    ! [X8,X6] :
      ( class_Groups_Omonoid__add(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),c_Groups_Ozero__class_Ozero(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__right) ).

fof(fact_add_Ocomm__neutral,axiom,
    ! [X8,X6] :
      ( class_Groups_Ocomm__monoid__add(X6)
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X8),c_Groups_Ozero__class_Ozero(X6)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add_Ocomm__neutral) ).

fof(fact_diff__self,axiom,
    ! [X8,X6] :
      ( class_Groups_Ogroup__add(X6)
     => c_Groups_Ominus__class_Ominus(X6,X8,X8) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__self) ).

fof(fact_power__one__right,axiom,
    ! [X8,X6] :
      ( class_Groups_Omonoid__mult(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X8),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__one__right) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
    ! [X5,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).

fof(fact_sgn__sgn,axiom,
    ! [X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => c_Groups_Osgn__class_Osgn(X6,c_Groups_Osgn__class_Osgn(X6,X8)) = c_Groups_Osgn__class_Osgn(X6,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__sgn) ).

fof(fact_abs__idempotent,axiom,
    ! [X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => c_Groups_Oabs__class_Oabs(X6,c_Groups_Oabs__class_Oabs(X6,X8)) = c_Groups_Oabs__class_Oabs(X6,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__idempotent) ).

fof(fact_complex__surj,axiom,
    ! [X11] : c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X11),hAPP(c_Complex_OIm,X11)) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__surj) ).

fof(fact_abs__norm__cancel,axiom,
    ! [X8,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X8)) = c_RealVector_Onorm__class_Onorm(X6,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__norm__cancel) ).

fof(fact_zdiv__self,axiom,
    ! [X8] :
      ( X8 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
     => c_Divides_Odiv__class_Odiv(tc_Int_Oint,X8,X8) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__self) ).

fof(fact_zdiv__zero,axiom,
    ! [X7] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X7) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zdiv__zero) ).

fof(fact_diff__0__eq__0,axiom,
    ! [X25] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__0__eq__0) ).

fof(fact_norm__sgn,axiom,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( ( X5 = c_Groups_Ozero__class_Ozero(X6)
         => c_RealVector_Onorm__class_Onorm(X6,c_Groups_Osgn__class_Osgn(X6,X5)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
        & ( X5 != c_Groups_Ozero__class_Ozero(X6)
         => c_RealVector_Onorm__class_Onorm(X6,c_Groups_Osgn__class_Osgn(X6,X5)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__sgn) ).

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_minus__nat_Odiff__0,axiom,
    ! [X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__nat_Odiff__0) ).

fof(fact_diff__self__eq__0,axiom,
    ! [X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__self__eq__0) ).

fof(fact_mult__0,axiom,
    ! [X25] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__0) ).

fof(fact_Bseq__monoseq__convergent,axiom,
    ! [X52] :
      ( c_SEQ_OBseq(tc_RealDef_Oreal,X52)
     => ( c_SEQ_Omonoseq(tc_RealDef_Oreal,X52)
       => c_SEQ_Oconvergent(tc_RealDef_Oreal,X52) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bseq__monoseq__convergent) ).

fof(fact_cos__zero,axiom,
    c_Transcendental_Ocos(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cos__zero) ).

fof(fact_sin__zero,axiom,
    c_Transcendental_Osin(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sin__zero) ).

fof(fact_zmult__1,axiom,
    ! [X11] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X11) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zmult__1) ).

fof(fact_nat__mult__1,axiom,
    ! [X25] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X25) = X25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__1) ).

fof(fact_real__mult__1,axiom,
    ! [X11] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X11) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__1) ).

fof(fact_zadd__0,axiom,
    ! [X11] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X11) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__0) ).

fof(fact_plus__nat_Oadd__0,axiom,
    ! [X25] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25) = X25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_plus__nat_Oadd__0) ).

fof(fact_mult__0__right,axiom,
    ! [X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__0__right) ).

fof(fact_complex__mod__rcis,axiom,
    ! [X8,X23] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X23,X8)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mod__rcis) ).

fof(fact_zmult__1__right,axiom,
    ! [X11] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X11),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zmult__1__right) ).

fof(fact_nat__mult__1__right,axiom,
    ! [X25] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__1__right) ).

fof(fact_zadd__0__right,axiom,
    ! [X11] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X11),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__0__right) ).

fof(fact_Nat_Oadd__0__right,axiom,
    ! [X29] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).

fof(fact_abs__real__of__nat__cancel,axiom,
    ! [X5] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X5)) = c_RealDef_Oreal(tc_Nat_Onat,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__real__of__nat__cancel) ).

fof(fact_complex_Oinject,axiom,
    ! [X93,X94,X95,X96] :
      ( c_Complex_Ocomplex_OComplex(X96,X95) = c_Complex_Ocomplex_OComplex(X94,X93)
    <=> ( X96 = X94
        & X95 = X93 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex_Oinject) ).

fof(fact_psize__eq__0__iff,axiom,
    ! [X26,X6] :
      ( class_Groups_Ozero(X6)
     => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X6,X26) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      <=> X26 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_psize__eq__0__iff) ).

fof(fact_incseq__imp__monoseq,axiom,
    ! [X52,X6] :
      ( class_Orderings_Oorder(X6)
     => ( c_SEQ_Oincseq(X6,X52)
       => c_SEQ_Omonoseq(X6,X52) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_incseq__imp__monoseq) ).

fof(fact_decseq__imp__monoseq,axiom,
    ! [X52,X6] :
      ( class_Orderings_Oorder(X6)
     => ( c_SEQ_Odecseq(X6,X52)
       => c_SEQ_Omonoseq(X6,X52) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_decseq__imp__monoseq) ).

fof(fact_real__of__nat__inject,axiom,
    ! [X31,X30] :
      ( c_RealDef_Oreal(tc_Nat_Onat,X30) = c_RealDef_Oreal(tc_Nat_Onat,X31)
    <=> X30 = X31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__inject) ).

fof(fact_sgn__zero__iff,axiom,
    ! [X13,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_Groups_Osgn__class_Osgn(X6,X13) = c_Groups_Ozero__class_Ozero(X6)
      <=> X13 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__zero__iff) ).

fof(fact_sgn__0__0,axiom,
    ! [X10,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( c_Groups_Osgn__class_Osgn(X6,X10) = c_Groups_Ozero__class_Ozero(X6)
      <=> X10 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__0__0) ).

fof(fact_abs__eq__0,axiom,
    ! [X10,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ( c_Groups_Oabs__class_Oabs(X6,X10) = c_Groups_Ozero__class_Ozero(X6)
      <=> X10 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__eq__0) ).

fof(fact_complex_Osize_I2_J,axiom,
    ! [X99,X100] : c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X100,X99)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex_Osize_I2_J) ).

fof(fact_Re,axiom,
    ! [X14,X5] : hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(X5,X14)) = X5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re) ).

fof(fact_Im,axiom,
    ! [X14,X5] : hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(X5,X14)) = X14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im) ).

fof(fact_norm__eq__zero,axiom,
    ! [X13,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_RealVector_Onorm__class_Onorm(X6,X13) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
      <=> X13 = c_Groups_Ozero__class_Ozero(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__eq__zero) ).

fof(arity_fun__Orderings_Oorder,axiom,
    ! [X104,X103] :
      ( class_Orderings_Oorder(X103)
     => class_Orderings_Oorder(tc_fun(X104,X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Orderings_Oorder) ).

fof(arity_fun__Orderings_Oord,axiom,
    ! [X104,X103] :
      ( class_Orderings_Oord(X103)
     => class_Orderings_Oord(tc_fun(X104,X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Orderings_Oord) ).

fof(arity_fun__Orderings_Opreorder,axiom,
    ! [X104,X103] :
      ( class_Orderings_Opreorder(X103)
     => class_Orderings_Opreorder(tc_fun(X104,X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Orderings_Opreorder) ).

fof(fact_complex_Osize_I1_J,axiom,
    ! [X99,X100] : c_Complex_Ocomplex_Ocomplex__size(c_Complex_Ocomplex_OComplex(X100,X99)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex_Osize_I1_J) ).

fof(fact_sgn__one,axiom,
    ! [X6] :
      ( class_RealVector_Oreal__normed__algebra__1(X6)
     => c_Groups_Osgn__class_Osgn(X6,c_Groups_Oone__class_Oone(X6)) = c_Groups_Oone__class_Oone(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__one) ).

fof(fact_sgn0,axiom,
    ! [X6] :
      ( class_Groups_Osgn__if(X6)
     => c_Groups_Osgn__class_Osgn(X6,c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn0) ).

fof(fact_sgn__zero,axiom,
    ! [X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => c_Groups_Osgn__class_Osgn(X6,c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sgn__zero) ).

fof(fact_abs__one,axiom,
    ! [X6] :
      ( class_Rings_Olinordered__idom(X6)
     => c_Groups_Oabs__class_Oabs(X6,c_Groups_Oone__class_Oone(X6)) = c_Groups_Oone__class_Oone(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__one) ).

fof(fact_abs__zero,axiom,
    ! [X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => c_Groups_Oabs__class_Oabs(X6,c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__zero) ).

fof(fact_Complex__eq__1,axiom,
    ! [X16,X10] :
      ( c_Complex_Ocomplex_OComplex(X10,X16) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
    <=> ( X10 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        & X16 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Complex__eq__1) ).

fof(fact_Complex__eq__0,axiom,
    ! [X16,X10] :
      ( c_Complex_Ocomplex_OComplex(X10,X16) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    <=> ( X10 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        & X16 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Complex__eq__0) ).

fof(fact_norm__one,axiom,
    ! [X6] :
      ( class_RealVector_Oreal__normed__algebra__1(X6)
     => c_RealVector_Onorm__class_Onorm(X6,c_Groups_Oone__class_Oone(X6)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__one) ).

fof(fact_norm__zero,axiom,
    ! [X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__zero) ).

fof(fact_natfloor__real__of__nat,axiom,
    ! [X25] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X25)) = X25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__real__of__nat) ).

fof(fact_natceiling__real__of__nat,axiom,
    ! [X25] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X25)) = X25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__real__of__nat) ).

fof(fact_real__of__nat__zero__iff,axiom,
    ! [X30] :
      ( c_RealDef_Oreal(tc_Nat_Onat,X30) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    <=> X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__zero__iff) ).

fof(fact_Complex__eq__i,axiom,
    ! [X21,X13] :
      ( c_Complex_Ocomplex_OComplex(X13,X21) = c_Complex_Oii
    <=> ( X13 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        & X21 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Complex__eq__i) ).

fof(fact_real__norm__def,axiom,
    ! [X23] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X23) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).

fof(fact_cis__zero,axiom,
    c_Complex_Ocis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cis__zero) ).

fof(fact_one__neq__zero,axiom,
    ! [X6] :
      ( class_Rings_Ozero__neq__one(X6)
     => c_Groups_Oone__class_Oone(X6) != c_Groups_Ozero__class_Ozero(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__neq__zero) ).

fof(fact_zero__neq__one,axiom,
    ! [X6] :
      ( class_Rings_Ozero__neq__one(X6)
     => c_Groups_Ozero__class_Ozero(X6) != c_Groups_Oone__class_Oone(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__neq__one) ).

fof(fact_rcis__zero__mod,axiom,
    ! [X8] : c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X8) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rcis__zero__mod) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__ring(X103)
     => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__ring) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__0(X103)
     => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__0) ).

fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
    ! [X103] :
      ( class_Groups_Ocancel__comm__monoid__add(X103)
     => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add) ).

fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
    ! [X103] :
      ( class_Rings_Oidom(X103)
     => class_Rings_Oidom(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oidom) ).

fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
    ! [X103] :
      ( class_Fields_Ofield(X103)
     => class_Divides_Osemiring__div(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__ring__1(X103)
     => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__ring__1) ).

fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__ring__1(X103)
     => class_Rings_Oring__1(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__1) ).

fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
    ! [X103] :
      ( class_Groups_Oab__group__add(X103)
     => class_Groups_Oab__group__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oab__group__add) ).

fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__ring(X103)
     => class_Rings_Oring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring) ).

fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
    ! [X103] :
      ( class_Groups_Oab__group__add(X103)
     => class_Groups_Ogroup__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ogroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__group__add) ).

fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__0(X103)
     => class_Rings_Osemiring__0(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Osemiring__0) ).

fof(arity_Polynomial__Opoly__Power_Opower,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__1(X103)
     => class_Power_Opower(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Power_Opower) ).

fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
    ! [X103] :
      ( class_Rings_Oidom(X103)
     => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semiring__1) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__ring__abs,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__ring__abs) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semiring) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__ring) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__ring__strict) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__comm__semiring) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__semiring) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Oordered__ring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__ring) ).

fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring) ).

fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Groups_Osgn__if(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Osgn__if) ).

fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__1(X103)
     => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Omonoid__mult) ).

fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__1(X103)
     => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__0(X103)
     => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring) ).

fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__0(X103)
     => class_Rings_Osemiring(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Osemiring) ).

fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__0(X103)
     => class_Rings_Omult__zero(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Omult__zero) ).

fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
    ! [X103] :
      ( class_Rings_Oidom(X103)
     => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors) ).

fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
    ! [X103] :
      ( class_Rings_Oidom(X103)
     => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ono__zero__divisors) ).

fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__0(X103)
     => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oab__semigroup__mult) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict) ).

fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
    ! [X103] :
      ( class_Rings_Oidom(X103)
     => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).

fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__1(X103)
     => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).

fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Orderings_Oorder(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Oorder) ).

fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Orderings_Olinorder(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Olinorder) ).

fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Orderings_Oord(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Oord) ).

fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Orderings_Opreorder(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Opreorder) ).

fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__1(X103)
     => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ozero__neq__one) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X103)) ),
    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,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le) ).

fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add) ).

fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
    ! [X103] :
      ( class_Groups_Ocomm__monoid__add(X103)
     => class_Groups_Omonoid__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Omonoid__add) ).

fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
    ! [X103] :
      ( class_Groups_Ocomm__monoid__add(X103)
     => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocomm__monoid__add) ).

fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
    ! [X103] :
      ( class_Rings_Ocomm__semiring__1(X103)
     => class_Groups_Oone(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oone) ).

fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
    ! [X103] :
      ( class_Groups_Ocomm__monoid__add(X103)
     => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oab__semigroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
    ! [X103] :
      ( class_Groups_Ocancel__comm__monoid__add(X103)
     => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add) ).

fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
    ! [X103] :
      ( class_Groups_Ocancel__comm__monoid__add(X103)
     => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__idom) ).

fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
    ! [X103] :
      ( class_Groups_Ozero(X103)
     => class_Groups_Ozero(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ozero) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs) ).

fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add) ).

fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
    ! [X103] :
      ( class_Rings_Olinordered__idom(X103)
     => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X103)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semidom) ).

fof(fact_g_I2_J,axiom,
    c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_g_I2_J) ).

fof(fact_conv1,axiom,
    c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_conv1) ).

fof(fact_f_I2_J,axiom,
    c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_f_I2_J) ).

fof(fact__096cmod_A_Is_A0_J_A_060_061_Ar_096,axiom,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),v_r)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A_Is_A0_J_A_060_061_Ar_096) ).

fof(fact_int__0__less__1,axiom,
    hBOOL(hAPP(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_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
    hBOOL(hAPP(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,
    hBOOL(hAPP(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_rp,axiom,
    hBOOL(hAPP(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_complex__one__def,axiom,
    c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__one__def) ).

fof(fact_complex__zero__def,axiom,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__zero__def) ).

fof(fact_i__def,axiom,
    c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_i__def) ).

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_complex__Re__one,axiom,
    hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__Re__one) ).

fof(fact_Re_Ozero,axiom,
    hAPP(c_Complex_ORe,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re_Ozero) ).

fof(fact_complex__Im__one,axiom,
    hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__Im__one) ).

fof(fact_Im_Ozero,axiom,
    hAPP(c_Complex_OIm,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Ozero) ).

fof(fact_complex__Re__i,axiom,
    hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__Re__i) ).

fof(fact_complex__Im__i,axiom,
    hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__Im__i) ).

fof(fact_ln__one,axiom,
    c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__one) ).

fof(fact_natfloor__one,axiom,
    c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__one) ).

fof(fact_natfloor__zero,axiom,
    c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__zero) ).

fof(fact_natceiling__one,axiom,
    c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__one) ).

fof(fact_natceiling__zero,axiom,
    c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__zero) ).

fof(fact_expi__zero,axiom,
    c_Complex_Oexpi(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_expi__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(fact_complex__i__not__one,axiom,
    c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__i__not__one) ).

fof(fact_complex__i__not__zero,axiom,
    c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__i__not__zero) ).

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_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_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_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__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_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_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_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_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_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(arity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__field) ).

fof(arity_RealDef__Oreal__RealVector_Oreal__field,axiom,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__field) ).

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__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__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_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_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_Int__Oint__Divides_Osemiring__div,axiom,
    class_Divides_Osemiring__div(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Divides_Osemiring__div) ).

fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
    class_Divides_Osemiring__div(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Divides_Osemiring__div) ).

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_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__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_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__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_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__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_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_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_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_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_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_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_Complex__Ocomplex__RealVector_Ometric__space,axiom,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Ometric__space) ).

fof(arity_RealDef__Oreal__RealVector_Ometric__space,axiom,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Ometric__space) ).

fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
    class_Rings_Olinordered__semiring__1(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__semiring__1) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom,
    class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semiring__1) ).

fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
    class_Rings_Oordered__ring__abs(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oordered__ring__abs) ).

fof(arity_RealDef__Oreal__Rings_Oordered__ring__abs,axiom,
    class_Rings_Oordered__ring__abs(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oordered__ring__abs) ).

fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
    class_Rings_Olinordered__semiring(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__semiring) ).

fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
    class_Rings_Olinordered__semiring(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Olinordered__semiring) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom,
    class_Rings_Olinordered__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semiring) ).

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_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_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__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_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_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_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_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_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_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_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_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_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_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_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_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_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_Int__Oint__Groups_Osgn__if,axiom,
    class_Groups_Osgn__if(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Osgn__if) ).

fof(arity_RealDef__Oreal__Groups_Osgn__if,axiom,
    class_Groups_Osgn__if(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Osgn__if) ).

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_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_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__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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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__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_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_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_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_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
    class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Olinordered__semiring__1__strict) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom,
    class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict) ).

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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_HOL_Obool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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__Groups_Ozero,axiom,
    class_Groups_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ozero) ).

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_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_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_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_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_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_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_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_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(fact_g_I1_J,axiom,
    c_SEQ_Osubseq(v_ga____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_g_I1_J) ).

fof(fact_f_I1_J,axiom,
    c_SEQ_Osubseq(v_f____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_f_I1_J) ).

fof(i_0_1259,plain,
    ! [X4646] : hAPP(c_Complex_OIm,c_Complex_Ocis(X4646)) = c_Transcendental_Osin(X4646),
    inference(variable_rename,[status(thm)],[fact_Im__cis]) ).

fof(i_0_1260,plain,
    ! [X4630] : c_Complex_Ocis(X4630) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X4630),
    inference(variable_rename,[status(thm)],[fact_cis__rcis__eq]) ).

fof(i_0_1261,plain,
    ! [X4647] : hAPP(c_Complex_ORe,c_Complex_Ocis(X4647)) = c_Transcendental_Ocos(X4647),
    inference(variable_rename,[status(thm)],[fact_Re__cis]) ).

fof(i_0_1262,plain,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
         => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
        & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
         => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),X25)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_div__if]) ).

fof(i_0_1263,plain,
    ! [X29,X25] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
       => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X25) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25),X25)) ) ),
    inference(fof_simplification,[status(thm)],[fact_div__geq]) ).

fof(i_0_1264,plain,
    ! [X30,X31] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X30))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X30)),X31)) ),
    inference(fof_simplification,[status(thm)],[fact_not__less__eq__eq]) ).

fof(i_0_1265,plain,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X25)),X25)),
    inference(fof_simplification,[status(thm)],[fact_Suc__n__not__le__n]) ).

fof(i_0_1266,plain,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),c_Nat_OSuc(X25)))
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
       => X29 = c_Nat_OSuc(X25) ) ),
    inference(fof_simplification,[status(thm)],[fact_le__SucE]) ).

fof(i_0_1267,plain,
    ! [X30,X31] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X30))
    <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X31))) ),
    inference(fof_simplification,[status(thm)],[fact_not__less__eq]) ).

fof(i_0_1268,plain,
    ! [X31,X30] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X31))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X31)))
      <=> X30 = X31 ) ),
    inference(fof_simplification,[status(thm)],[fact_not__less__less__Suc__eq]) ).

fof(i_0_1269,plain,
    ! [X29,X25] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X29))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Nat_OSuc(X29)))
       => X29 = X25 ) ),
    inference(fof_simplification,[status(thm)],[fact_less__antisym]) ).

fof(i_0_1270,plain,
    ! [X25,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Nat_OSuc(X25)))
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
       => X29 = X25 ) ),
    inference(fof_simplification,[status(thm)],[fact_less__SucE]) ).

fof(i_0_1271,plain,
    ! [X30,X33,X39] :
      ( epred1_3(X39,X33,X30)
    <=> ( ( X33 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
         => hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
        & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X33))
         => ! [X60] :
              ( ? [X70] :
                  ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X70))
                  & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X70),X33))
                  & X30 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X33),X60)),X70) )
             => hBOOL(hAPP(X39,X60)) ) )
        & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
         => ! [X60] :
              ( ? [X70] :
                  ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),X70))
                  & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X70),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
                  & X30 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X33),X60)),X70) )
             => hBOOL(hAPP(X39,X60)) ) ) ) ),
    introduced(definition) ).

fof(i_0_1272,plain,
    ~ ! [X51] :
        ( c_SEQ_Osubseq(X51)
       => ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,X51)))) ),
    inference(fof_simplification,[status(thm)],[fact__096_B_Bthesis_O_A_I_B_Bg_O_A_091_124_Asubseq_Ag_059_Amonoseq_A_I_Fn_O_AIm_A_Is_A_If_A_Ig_An_J_J_J_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096]) ).

fof(i_0_1273,negated_conjecture,
    ~ ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
      & ! [X4] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X4)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(i_0_1274,plain,
    ! [X4133,X4134,X4135,X4138,X4139,X4142] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4135))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4134,hAPP(X4133,esk40_3(X4133,X4134,X4135)))),X4135))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4134,hAPP(X4133,X4138))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk41_2(X4133,X4134)))))
        | ~ class_RealVector_Oreal__normed__vector(X4134) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk43_2(X4133,X4134)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4134,hAPP(X4133,esk42_3(X4133,X4134,X4139)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4139))))
        | ~ class_RealVector_Oreal__normed__vector(X4134) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4134,hAPP(X4133,X4142))),esk43_2(X4133,X4134)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4134,hAPP(X4133,esk42_3(X4133,X4134,X4139)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4139))))
        | ~ class_RealVector_Oreal__normed__vector(X4134) ) ),
    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_1275,plain,
    ! [X4290] : c_Nat_OSuc(X4290) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4290),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).

fof(i_0_1276,plain,
    ! [X4123,X4124,X4125,X4128,X4129,X4132] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4125))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4124,hAPP(X4123,esk36_3(X4123,X4124,X4125)))),X4125))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4124,hAPP(X4123,X4128))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk37_2(X4123,X4124)))))
        | ~ class_RealVector_Oreal__normed__vector(X4124) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk39_2(X4123,X4124)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4124,hAPP(X4123,esk38_3(X4123,X4124,X4129)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4129))))
        | ~ class_RealVector_Oreal__normed__vector(X4124) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4124,hAPP(X4123,X4132))),esk39_2(X4123,X4124)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4124,hAPP(X4123,esk38_3(X4123,X4124,X4129)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4129))))
        | ~ class_RealVector_Oreal__normed__vector(X4124) ) ),
    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_1277,plain,
    ! [X4279,X4280,X4281] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4281)),X4280)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4281)),X4279)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4280),X4279)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4280),X4279))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4281)),X4280)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4281)),X4279))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mult__less__cancel1])]) ).

fof(i_0_1278,plain,
    ! [X4286,X4287,X4288] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4288)),X4287)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4288)),X4286)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4287),X4286)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4287),X4286))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4288)),X4287)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4288)),X4286))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mult__le__cancel1])]) ).

fof(i_0_1279,plain,
    ! [X14,X5,X6] :
      ( class_Rings_Olinordered__ring(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X14),X14))),c_Groups_Ozero__class_Ozero(X6))) ),
    inference(fof_simplification,[status(thm)],[fact_not__sum__squares__lt__zero]) ).

fof(i_0_1280,plain,
    ! [X4318,X4319,X4321,X4322] :
      ( ( ~ c_SEQ_OBseq(X4319,X4318)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4319,hAPP(X4318,X4321))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk52_2(X4318,X4319)))))
        | ~ class_RealVector_Oreal__normed__vector(X4319) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4319,hAPP(X4318,esk53_3(X4318,X4319,X4322)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4322))))
        | c_SEQ_OBseq(X4319,X4318)
        | ~ class_RealVector_Oreal__normed__vector(X4319) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__iff1a])])])])]) ).

fof(i_0_1281,plain,
    ! [X4312,X4313,X4315,X4316] :
      ( ( ~ c_SEQ_OBseq(X4313,X4312)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4313,hAPP(X4312,X4315))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk50_2(X4312,X4313)))))
        | ~ class_RealVector_Oreal__normed__vector(X4313) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4313,hAPP(X4312,esk51_3(X4312,X4313,X4316)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4316))))
        | c_SEQ_OBseq(X4313,X4312)
        | ~ class_RealVector_Oreal__normed__vector(X4313) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__iff])])])])]) ).

fof(i_0_1282,plain,
    ! [X4625,X4626] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,esk58_2(X4625,X4626))),X4626)),X4625))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4625))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4626)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4625),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk58_2(X4625,X4626)))),X4626)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4625))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4626)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_reals__Archimedean4])])])]) ).

fof(i_0_1283,plain,
    ! [X4425,X4426,X4427,X4428] :
      ( ~ class_Rings_Olinordered__semidom(X4428)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4428,hAPP(hAPP(c_Power_Opower__class_Opower(X4428),X4427),c_Nat_OSuc(X4426))),hAPP(hAPP(c_Power_Opower__class_Opower(X4428),X4425),c_Nat_OSuc(X4426))))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4428,c_Groups_Ozero__class_Ozero(X4428)),X4425))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4428,X4427),X4425)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__le__imp__le__base])]) ).

fof(i_0_1284,plain,
    ! [X4291,X4292,X4293,X4294] :
      ( ( ~ c_SEQ_Omonoseq(X4292,X4291)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4292,hAPP(X4291,X4293)),hAPP(X4291,c_Nat_OSuc(X4293))))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4292,hAPP(X4291,c_Nat_OSuc(X4294))),hAPP(X4291,X4294)))
        | ~ class_Orderings_Oorder(X4292) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4292,hAPP(X4291,esk47_2(X4291,X4292))),hAPP(X4291,c_Nat_OSuc(esk47_2(X4291,X4292)))))
        | c_SEQ_Omonoseq(X4292,X4291)
        | ~ class_Orderings_Oorder(X4292) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4292,hAPP(X4291,c_Nat_OSuc(esk48_2(X4291,X4292)))),hAPP(X4291,esk48_2(X4291,X4292))))
        | c_SEQ_Omonoseq(X4292,X4291)
        | ~ class_Orderings_Oorder(X4292) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monoseq__Suc])])])])]) ).

fof(i_0_1285,plain,
    ! [X5276,X5277,X5278,X5280,X5281,X5282,X5283] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5276),esk71_3(X5276,X5277,X5278))),X5277))
        | X5276 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(X5278,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5276))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5277),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5276),c_Nat_OSuc(esk71_3(X5276,X5277,X5278)))))
        | X5276 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(X5278,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5276))) )
      & ( hBOOL(hAPP(X5278,esk71_3(X5276,X5277,X5278)))
        | X5276 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(X5278,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5276))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5276),esk71_3(X5276,X5277,X5278))),X5277))
        | hBOOL(hAPP(X5278,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | ~ hBOOL(hAPP(X5278,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5276))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5277),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5276),c_Nat_OSuc(esk71_3(X5276,X5277,X5278)))))
        | hBOOL(hAPP(X5278,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | ~ hBOOL(hAPP(X5278,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5276))) )
      & ( hBOOL(hAPP(X5278,esk71_3(X5276,X5277,X5278)))
        | hBOOL(hAPP(X5278,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | ~ hBOOL(hAPP(X5278,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5276))) )
      & ( X5280 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(X5282,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X5282,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5281,X5280))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5280),X5283)),X5281))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5281),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5280),c_Nat_OSuc(X5283))))
        | ~ hBOOL(hAPP(X5282,X5283))
        | hBOOL(hAPP(X5282,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5281,X5280))) ) ),
    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_split__div_H])])])])])]) ).

fof(i_0_1286,plain,
    ! [X5030,X5031,X5032] :
      ( ~ class_Rings_Ocomm__ring__1(X5032)
      | c_Groups_Ominus__class_Ominus(X5032,hAPP(hAPP(c_Power_Opower__class_Opower(X5032),X5031),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X5032),X5030),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5032),c_Groups_Ominus__class_Ominus(X5032,X5031,X5030)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5032),X5031),X5030)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__two__diff])]) ).

fof(i_0_1287,plain,
    ! [X4302,X4303] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4303))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4302))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4302),X4303))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__less__mult])]) ).

fof(i_0_1288,plain,
    ! [X4308,X4309] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4309))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4309),X4308))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4308))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4309),X4308))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4309))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4308))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4309),X4308))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__le__mult__iff])])]) ).

fof(i_0_1289,plain,
    ! [X5075,X5076] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5076,X5075)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5076)),c_Transcendental_Ocos(X5075))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5076)),c_Transcendental_Osin(X5075))),
    inference(variable_rename,[status(thm)],[fact_cos__diff]) ).

cnf(i_0_1290,plain,
    hAPP(c_Complex_OIm,c_Complex_Ocis(X1)) = c_Transcendental_Osin(X1),
    inference(split_conjunct,[status(thm)],[i_0_1259]) ).

cnf(i_0_1291,plain,
    c_Complex_Ocis(X1) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1),
    inference(split_conjunct,[status(thm)],[i_0_1260]) ).

cnf(i_0_1292,plain,
    hAPP(c_Complex_ORe,c_Complex_Ocis(X1)) = c_Transcendental_Ocos(X1),
    inference(split_conjunct,[status(thm)],[i_0_1261]) ).

fof(i_0_1293,plain,
    ! [X5077,X5078] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5078,X5077)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5077)),c_Transcendental_Ocos(X5078))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5077)),c_Transcendental_Osin(X5078))),
    inference(variable_rename,[status(thm)],[fact_cos__diff2]) ).

fof(i_0_1294,plain,
    ! [X4639,X4640] : c_Transcendental_Osin(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4640),X4639)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X4640)),c_Transcendental_Ocos(X4639))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X4640)),c_Transcendental_Osin(X4639))),
    inference(variable_rename,[status(thm)],[fact_sin__add]) ).

fof(i_0_1295,plain,
    ! [X5284,X5285,X5286] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5286),X5285)),X5284))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5284),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5286),c_Nat_OSuc(X5285))))
        | X5285 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5284,X5286)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5286)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5286),X5285)),X5284))
        | X5285 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5284,X5286)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5286)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5284),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5286),c_Nat_OSuc(X5285))))
        | X5285 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5284,X5286)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5286)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__div__lemma])])]) ).

fof(i_0_1296,plain,
    ! [X4641] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X4641)),c_Transcendental_Ocos(X4641))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X4641)),c_Transcendental_Osin(X4641))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[fact_sin__cos__squared__add3]) ).

fof(i_0_1297,plain,
    ! [X4304,X4305] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4305))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4304))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4305),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4305),X4304))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_n__less__n__mult__m])]) ).

fof(i_0_1298,plain,
    ! [X4306,X4307] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4307))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4306))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4307),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4306),X4307))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_n__less__m__mult__n])]) ).

fof(i_0_1299,plain,
    ! [X4484] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4484),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))
      | X4484 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | X4484 = 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_1300,plain,
    ! [X4466,X4467,X4468] :
      ( ~ class_Rings_Olinordered__semidom(X4468)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4468,c_Groups_Ozero__class_Ozero(X4468)),X4467))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4468,X4467),c_Groups_Oone__class_Oone(X4468)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4468,hAPP(hAPP(c_Power_Opower__class_Opower(X4468),X4467),c_Nat_OSuc(X4466))),c_Groups_Oone__class_Oone(X4468))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc__less__one])]) ).

fof(i_0_1301,plain,
    ! [X4147,X4148,X4149] :
      ( ~ class_Rings_Olinordered__semidom(X4149)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4149,c_Groups_Ozero__class_Ozero(X4149)),X4148))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4149,X4148),c_Groups_Oone__class_Oone(X4149)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4149,hAPP(hAPP(c_Power_Opower__class_Opower(X4149),X4148),c_Nat_OSuc(X4147))),X4148)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__Suc__le__self])]) ).

fof(i_0_1302,plain,
    ! [X5069,X5070] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5070,X5069)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5069)),c_Transcendental_Osin(X5070)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5069)),c_Transcendental_Ocos(X5070))),
    inference(variable_rename,[status(thm)],[fact_sin__diff2]) ).

fof(i_0_1303,plain,
    ! [X5067,X5068] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5068,X5067)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5068)),c_Transcendental_Ocos(X5067)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5068)),c_Transcendental_Osin(X5067))),
    inference(variable_rename,[status(thm)],[fact_sin__diff]) ).

fof(i_0_1304,plain,
    ! [X5073,X5074] : c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5074),X5073)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5074)),c_Transcendental_Ocos(X5073)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5074)),c_Transcendental_Osin(X5073))),
    inference(variable_rename,[status(thm)],[fact_cos__add]) ).

fof(i_0_1305,plain,
    ! [X4358,X4359] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4359))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4359),X4358))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__one__le__power])]) ).

fof(i_0_1306,plain,
    ! [X4623,X4624] : c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4624))),X4623)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X4623)),c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4624)),X4623))),
    inference(variable_rename,[status(thm)],[fact_cis__real__of__nat__Suc__mult]) ).

fof(i_0_1307,plain,
    ! [X4949,X4950] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4950))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4950,c_Nat_OSuc(X4949))),X4950)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__less])]) ).

fof(i_0_1308,plain,
    ! [X5] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X5)),
    inference(fof_simplification,[status(thm)],[fact_abs__add__one__not__less__self]) ).

fof(i_0_1309,plain,
    ! [X4297,X4298,X4299] :
      ( ( ~ c_SEQ_Osubseq(X4297)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4297,X4298)),hAPP(X4297,c_Nat_OSuc(X4298)))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4299,esk49_1(X4299))),hAPP(X4299,c_Nat_OSuc(esk49_1(X4299)))))
        | c_SEQ_Osubseq(X4299) ) ),
    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_1310,plain,
    ! [X5014,X5015] :
      ( ( X5015 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5015),X5014) = X5014 )
      & ( X5015 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5015),X5014) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5015,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X5014)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__if])]) ).

fof(i_0_1311,plain,
    ! [X5008,X5009,X5010,X5011] :
      ( ~ class_Groups_Omonoid__mult(X5011)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5010),X5009))
      | hAPP(hAPP(c_Power_Opower__class_Opower(X5011),X5008),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X5009),X5010)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5011),hAPP(hAPP(c_Power_Opower__class_Opower(X5011),X5008),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5009,X5010))),X5008) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_lemma__realpow__diff])]) ).

fof(i_0_1312,plain,
    ! [X4186,X4187] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4187)),c_Nat_OSuc(X4186)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4187),X4186)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4187),X4186))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4187)),c_Nat_OSuc(X4186))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__less__eq])]) ).

fof(i_0_1313,plain,
    ! [X4169,X4170] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4170)),c_Nat_OSuc(X4169)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4170),X4169)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__less__SucD])]) ).

fof(i_0_1314,plain,
    ! [X4204,X4205] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4205)),c_Nat_OSuc(X4204)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4205),X4204)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4205),X4204))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4205)),c_Nat_OSuc(X4204))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__mono])]) ).

fof(i_0_1315,plain,
    ! [X4263,X4264] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4264),c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4264),X4263)))),
    inference(variable_rename,[status(thm)],[fact_less__add__Suc1]) ).

fof(i_0_1316,plain,
    ! [X4261,X4262] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4262),c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4261),X4262)))),
    inference(variable_rename,[status(thm)],[fact_less__add__Suc2]) ).

fof(i_0_1317,plain,
    ! [X5287,X5288] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5288))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5288),X5287))
      | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5287,X5288) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5287,X5288),X5288)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__div__geq])]) ).

fof(i_0_1318,plain,
    ! [X5257,X5258] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5257),X5258))
        | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5257,X5258) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5258)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5257),X5258))
        | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5257,X5258) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5257,X5258),X5258))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5258)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1262])])]) ).

fof(i_0_1319,plain,
    ! [X5255,X5256] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5256))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5255),X5256))
      | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5255,X5256) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5255,X5256),X5256)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1263])]) ).

fof(i_0_1320,plain,
    ! [X90,X14,X91,X92] :
      ( X92 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X91),X14)),X90)
     => ( ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X91))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X90))
              & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X90),X91)) ) )
          & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X91))
           => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X91),X90))
              & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X90),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
       => ( X91 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
         => c_Divides_Odiv__class_Odiv(tc_Int_Oint,X92,X91) = X14 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_divmod__int__rel__div__eq]) ).

fof(i_0_1321,plain,
    ! [X4967,X4968,X4969] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4969),X4968))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4968,X4969)),X4967) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4968),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4969),X4967)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__diff__eq2])]) ).

fof(i_0_1322,plain,
    ! [X4970,X4971,X4972] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4972),X4971))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4970,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4971,X4972))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4970),X4972),c_Nat_OSuc(X4971)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__diff__eq1])]) ).

fof(i_0_1323,plain,
    ! [X4538,X4539,X4540,X4541,X4542] : hAPP(hAPP(c_Power_Opower_Opower(X4542,X4541,X4540),X4539),c_Nat_OSuc(X4538)) = hAPP(hAPP(X4540,X4539),hAPP(hAPP(c_Power_Opower_Opower(X4542,X4541,X4540),X4539),X4538)),
    inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__Suc]) ).

fof(i_0_1324,plain,
    ! [X4444,X4445,X4446] :
      ( ~ class_Rings_Olinordered__semidom(X4446)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4446,c_Groups_Oone__class_Oone(X4446)),X4445))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4446,c_Groups_Oone__class_Oone(X4446)),hAPP(hAPP(c_Power_Opower__class_Opower(X4446),X4445),c_Nat_OSuc(X4444)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__gt1])]) ).

fof(i_0_1325,plain,
    ! [X4654] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X4654))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(variable_rename,[status(thm)],[fact_abs__cos__le__one]) ).

fof(i_0_1326,plain,
    ! [X4653] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Osin(X4653))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(variable_rename,[status(thm)],[fact_abs__sin__le__one]) ).

fof(i_0_1327,plain,
    ! [X4208,X4209] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4209),X4208))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4208)),X4209)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4208)),X4209))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4209),X4208)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1264])]) ).

fof(i_0_1328,plain,
    ! [X4948] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4948))
      | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4948,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X4948 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__pred])]) ).

fof(i_0_1329,plain,
    ! [X4429,X4430,X4431,X4432] :
      ( ~ class_Rings_Olinordered__semidom(X4432)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4432),X4431),c_Nat_OSuc(X4430)) != hAPP(hAPP(c_Power_Opower__class_Opower(X4432),X4429),c_Nat_OSuc(X4430))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4432,c_Groups_Ozero__class_Ozero(X4432)),X4431))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4432,c_Groups_Ozero__class_Ozero(X4432)),X4429))
      | X4431 = X4429 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inject__base])]) ).

fof(i_0_1330,plain,
    ! [X4171,X4172] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4172)),X4171))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4172),X4171)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__lessD])]) ).

fof(i_0_1331,plain,
    ! [X4277,X4278] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4278)),X4277))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4278),X4277)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__lessD])]) ).

fof(i_0_1332,plain,
    ! [X4269,X4270] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4270)),X4269))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4270),X4269)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4270),X4269))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4270)),X4269)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__eq])]) ).

fof(i_0_1333,plain,
    ! [X4265,X4266] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4266),X4265))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4266)),X4265)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4266)),X4265))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4266),X4265)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__Suc__le])]) ).

fof(i_0_1334,plain,
    ! [X4198,X4199] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4199)),X4198))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4199),X4198)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__leD])]) ).

fof(i_0_1335,plain,
    ! [X8,X6] :
      ( class_Rings_Olinordered__ring(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X8)),c_Groups_Ozero__class_Ozero(X6))) ),
    inference(fof_simplification,[status(thm)],[fact_not__square__less__zero]) ).

fof(i_0_1336,plain,
    ! [X5099,X5100] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5100))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5099))
      | c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5099),X5100),X5099) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5099),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5100,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__power__div__base])]) ).

fof(i_0_1337,plain,
    ! [X4144,X4145] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4145),X4144))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4145)),c_Nat_OSuc(X4144))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mono])]) ).

fof(i_0_1338,plain,
    ! [X25,X17,X29] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X17)),X25))
     => ~ ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X25))
         => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X25)) ) ),
    inference(fof_simplification,[status(thm)],[fact_add__leE]) ).

fof(i_0_1339,plain,
    ! [X4211,X4212,X4213] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4213)),X4212) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4213)),X4211)
        | X4212 = X4211 )
      & ( X4212 != X4211
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4213)),X4212) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4213)),X4211) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mult__cancel1])]) ).

fof(i_0_1340,plain,
    ! [X4607] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,esk55_1(X4607))),X4607))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4607)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4607),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk55_1(X4607)))))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4607)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_reals__Archimedean6a])])])]) ).

fof(i_0_1341,plain,
    ! [X4210] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4210)),X4210)),
    inference(variable_rename,[status(thm)],[i_0_1265]) ).

fof(i_0_1342,plain,
    ! [X4175,X4176,X4177] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4177),X4176))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4176),X4175))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4177)),X4175)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__trans__Suc])]) ).

fof(i_0_1343,plain,
    ! [X16,X10,X39] :
      ( hBOOL(hAPP(X39,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X10,X16)))
    <=> ~ ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10),X16))
            & ~ hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
          | ? [X87] :
              ( X10 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16),X87)
              & ~ hBOOL(hAPP(X39,X87)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_nat__diff__split__asm]) ).

fof(i_0_1344,plain,
    ! [X18,X19] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)),X19)),
    inference(fof_simplification,[status(thm)],[fact_not__add__less1]) ).

fof(i_0_1345,plain,
    ! [X19,X18] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X19)),X19)),
    inference(fof_simplification,[status(thm)],[fact_not__add__less2]) ).

fof(i_0_1346,plain,
    ! [X4901,X4902] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4902,X4901)),c_Nat_OSuc(X4902))),
    inference(variable_rename,[status(thm)],[fact_diff__less__Suc]) ).

fof(i_0_1347,plain,
    ! [X1,X2,X6,X24] :
      ( class_Orderings_Oord(X24)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X6,X24),X2),X1))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X24),X2),X1))
          & ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X24),X1),X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_less__fun__def]) ).

fof(i_0_1348,plain,
    ! [X4635,X4636] : c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4636)),X4635)) = hAPP(c_Complex_ORe,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4635)),X4636)),
    inference(variable_rename,[status(thm)],[fact_cos__n__Re__cis__pow__n]) ).

fof(i_0_1349,plain,
    ! [X4637,X4638] : c_Transcendental_Osin(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4638)),X4637)) = hAPP(c_Complex_OIm,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4637)),X4638)),
    inference(variable_rename,[status(thm)],[fact_sin__n__Im__cis__pow__n]) ).

fof(i_0_1350,plain,
    ! [X4178,X4179] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4179),X4178))
      | c_Nat_OSuc(X4179) = X4178
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4179)),X4178)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__lessI])]) ).

fof(i_0_1351,plain,
    ! [X4243,X4244,X4246,X4247,X4248] :
      ( ( X4244 = c_Nat_OSuc(esk45_2(X4243,X4244))
        | X4244 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4244),c_Nat_OSuc(X4243))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(X4243,X4244)),X4243))
        | X4244 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4244),c_Nat_OSuc(X4243))) )
      & ( X4247 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4247),c_Nat_OSuc(X4246))) )
      & ( X4247 != c_Nat_OSuc(X4248)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4248),X4246))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4247),c_Nat_OSuc(X4246))) ) ),
    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_1352,plain,
    ! [X4795,X4796,X4797] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4797),X4796),c_Nat_OSuc(X4795)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4797,X4796),X4795),
    inference(variable_rename,[status(thm)],[fact_Suc__diff__diff]) ).

fof(i_0_1353,plain,
    ! [X4273,X4274] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4274),X4273))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4274)),X4273)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__leI])]) ).

fof(i_0_1354,plain,
    ! [X4206,X4207] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4207),c_Nat_OSuc(X4206)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4207),X4206))
        | X4207 = c_Nat_OSuc(X4206) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4207),X4206))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4207),c_Nat_OSuc(X4206))) )
      & ( X4207 != c_Nat_OSuc(X4206)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4207),c_Nat_OSuc(X4206))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__Suc__eq])])]) ).

fof(i_0_1355,plain,
    ! [X4200,X4201] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4201),c_Nat_OSuc(X4200)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4201),X4200))
      | X4201 = c_Nat_OSuc(X4200) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1266])]) ).

fof(i_0_1356,plain,
    ! [X4275,X4276] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4275),c_Nat_OSuc(X4276)))
        | X4275 = X4276
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4276),X4275)) )
      & ( X4275 != X4276
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4275),c_Nat_OSuc(X4276)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4276),X4275)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__less__Suc__eq])])]) ).

fof(i_0_1357,plain,
    ! [X4190,X4191] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4191),X4190))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4190),c_Nat_OSuc(X4191))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4190),c_Nat_OSuc(X4191)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4191),X4190)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1267])]) ).

fof(i_0_1358,plain,
    ! [X4893,X4894] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4894),X4893))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4893),X4894) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4893,X4894)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__diff__le])]) ).

fof(i_0_1359,plain,
    ! [X4310] : hBOOL(hAPP(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(X4310)))),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc__gt__zero]) ).

fof(i_0_1360,plain,
    ! [X30,X39] :
      ( ~ hBOOL(hAPP(X39,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
     => ( hBOOL(hAPP(X39,X30))
       => ? [X32] :
            ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X32),X30))
            & ! [X60] :
                ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X60),X32))
               => ~ hBOOL(hAPP(X39,X60)) )
            & hBOOL(hAPP(X39,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X32),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_ex__least__nat__less]) ).

fof(i_0_1361,plain,
    ! [X4188,X4189] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4189),c_Nat_OSuc(X4188)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4189),X4188))
        | X4189 = X4188 )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4189),X4188))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4189),c_Nat_OSuc(X4188))) )
      & ( X4189 != X4188
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4189),c_Nat_OSuc(X4188))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq])])]) ).

fof(i_0_1362,plain,
    ! [X4184,X4185] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4185),c_Nat_OSuc(X4184)))
        | X4185 = X4184
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4185),X4184)) )
      & ( X4185 != X4184
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4185),c_Nat_OSuc(X4184)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4185),X4184)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1268])])]) ).

fof(i_0_1363,plain,
    ! [X4182,X4183] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4183),X4182))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4183),c_Nat_OSuc(X4182)))
      | X4182 = X4183 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1269])]) ).

fof(i_0_1364,plain,
    ! [X4173,X4174] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4174),c_Nat_OSuc(X4173)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4174),X4173))
      | X4174 = X4173 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1270])]) ).

fof(i_0_1365,plain,
    ! [X4267,X4268] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4268),c_Nat_OSuc(X4267)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4268),X4267)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4268),X4267))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4268),c_Nat_OSuc(X4267))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq__le])]) ).

fof(i_0_1366,plain,
    ! [X4194,X4195] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X4195)),X4194) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4195),X4194)),
    inference(variable_rename,[status(thm)],[fact_add__Suc]) ).

fof(i_0_1367,plain,
    ! [X4242] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4242),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
        | X4242 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X4242 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4242),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_1368,plain,
    ! [X4255,X4256,X4258,X4259,X4260] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4256),X4255))
        | X4255 = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4256),esk46_2(X4255,X4256))) )
      & ( X4258 != c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4259),X4260))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4259),X4258)) ) ),
    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_1369,plain,
    ! [X4644] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Ocos(X4644)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(variable_rename,[status(thm)],[fact_cos__le__one]) ).

fof(i_0_1370,plain,
    ! [X4645] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Osin(X4645)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(variable_rename,[status(thm)],[fact_sin__le__one]) ).

fof(i_0_1371,axiom,
    ! [X33,X30,X39] :
      ( hBOOL(hAPP(X39,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X30,X33)))
    <=> epred1_3(X39,X33,X30) ),
    inference(apply_def,[status(thm)],[fact_split__zdiv,c_0_1271]) ).

fof(i_0_1372,plain,
    ! [X13] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_1373,plain,
    ! [X4409,X4410,X4411] :
      ( ~ class_Groups_Omonoid__mult(X4411)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4411),X4410),c_Nat_OSuc(X4409)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4411),hAPP(hAPP(c_Power_Opower__class_Opower(X4411),X4410),X4409)),X4410) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc2])]) ).

fof(i_0_1374,plain,
    ! [X4156,X4157,X4158] :
      ( ~ class_Rings_Ocomm__semiring__1(X4158)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4158),hAPP(hAPP(c_Power_Opower__class_Opower(X4158),X4157),X4156)),X4157) = hAPP(hAPP(c_Power_Opower__class_Opower(X4158),X4157),c_Nat_OSuc(X4156)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J])]) ).

fof(i_0_1375,plain,
    ! [X5013] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5013))
      | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5013,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X5013 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__diff__1])]) ).

fof(i_0_1376,plain,
    ! [X5012] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5012))
      | X5012 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5012,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_1377,plain,
    ! [X5273] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X5273),c_Transcendental_Osin(X5273))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[fact_cmod__unit__one]) ).

fof(i_0_1378,plain,
    ! [X4180,X4181] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4181),X4180))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4181),c_Nat_OSuc(X4180))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__SucI])]) ).

fof(i_0_1379,plain,
    ! [X4271,X4272] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4272),X4271))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4272),c_Nat_OSuc(X4271))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__less__Suc])]) ).

fof(i_0_1380,plain,
    ! [X4202,X4203] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4203),X4202))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4203),c_Nat_OSuc(X4202))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__SucI])]) ).

fof(i_0_1381,plain,
    ! [X4192,X4193] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X4193)),X4192) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4193),c_Nat_OSuc(X4192)),
    inference(variable_rename,[status(thm)],[fact_add__Suc__shift]) ).

fof(i_0_1382,plain,
    ! [X4284,X4285] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4285)),X4284) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4284),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4285),X4284)),
    inference(variable_rename,[status(thm)],[fact_mult__Suc]) ).

fof(i_0_1383,plain,
    ! [X4196,X4197] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4197),c_Nat_OSuc(X4196)) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4197),X4196)),
    inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).

fof(i_0_1384,plain,
    ! [X4677,X4678] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk60_2(X4677,X4678)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4678)) )
      & ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X4677,X4678)),c_Nat_OSuc(X4677)) = X4678
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4678)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__pos__nth2])])])]) ).

fof(i_0_1385,plain,
    ! [X4673] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4673)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | c_Transcendental_Ocos(c_Transcendental_Oarccos(X4673)) = X4673 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cos__arccos__abs])]) ).

fof(i_0_1386,plain,
    ! [X5291] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5291))
      | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5291))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cos__arg__i__mult__zero__pos])]) ).

fof(i_0_1387,plain,
    ! [X8,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oabs__class_Oabs(X6,X8)),c_Groups_Ozero__class_Ozero(X6))) ),
    inference(fof_simplification,[status(thm)],[fact_abs__not__less__zero]) ).

fof(i_0_1388,plain,
    ! [X4348] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4348) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[fact_power__Suc__0]) ).

fof(i_0_1389,plain,
    ! [X5293] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5293),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
      | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5293))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cos__arg__i__mult__zero__neg])]) ).

fof(i_0_1390,plain,
    ! [X4696,X4697] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4697,c_Nat_OSuc(X4696)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4697,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4696),
    inference(variable_rename,[status(thm)],[fact_diff__Suc__eq__diff__pred]) ).

fof(i_0_1391,plain,
    ! [X4412,X4413,X4414] :
      ( ~ class_Power_Opower(X4414)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4414),X4413),c_Nat_OSuc(X4412)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4414),X4413),hAPP(hAPP(c_Power_Opower__class_Opower(X4414),X4413),X4412)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc])]) ).

fof(i_0_1392,plain,
    ! [X4150,X4151,X4152] :
      ( ~ class_Rings_Ocomm__semiring__1(X4152)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4152),X4151),c_Nat_OSuc(X4150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4152),X4151),hAPP(hAPP(c_Power_Opower__class_Opower(X4152),X4151),X4150)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J])]) ).

fof(i_0_1393,plain,
    ! [X4153,X4154,X4155] :
      ( ~ class_Rings_Ocomm__semiring__1(X4155)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4155),X4154),hAPP(hAPP(c_Power_Opower__class_Opower(X4155),X4154),X4153)) = hAPP(hAPP(c_Power_Opower__class_Opower(X4155),X4154),c_Nat_OSuc(X4153)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J])]) ).

fof(i_0_1394,plain,
    ! [X4631,X4632] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4632)),X4631) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4631)),X4632)),
    inference(variable_rename,[status(thm)],[fact_DeMoivre]) ).

fof(i_0_1395,plain,
    ! [X21,X13,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
          & ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X21),X13)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_less__le__not__le]) ).

fof(i_0_1396,plain,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X5)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
    inference(fof_simplification,[status(thm)],[fact_norm__not__less__zero]) ).

fof(i_0_1397,plain,
    ! [X4798,X4799] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4799),c_Nat_OSuc(X4798)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4799,X4798),
    inference(variable_rename,[status(thm)],[fact_diff__Suc__Suc]) ).

fof(i_0_1398,plain,
    ! [X4146] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_OSuc(X4146))),
    inference(variable_rename,[status(thm)],[fact_zero__less__Suc]) ).

fof(i_0_1399,plain,
    ! [X4253,X4254] :
      ( ( X4254 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4254),X4253) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4253 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4254),X4253) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4254 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4253 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4254),X4253) = 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_mult__eq__1__iff])])]) ).

fof(i_0_1400,plain,
    ! [X4282,X4283] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4283),c_Nat_OSuc(X4282)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4283),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4283),X4282)),
    inference(variable_rename,[status(thm)],[fact_mult__Suc__right]) ).

fof(i_0_1401,plain,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X25)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(fof_simplification,[status(thm)],[fact_not__real__of__nat__less__zero]) ).

fof(i_0_1402,plain,
    ! [X4249,X4250] :
      ( ( X4250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4250 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4250),X4249) )
      & ( X4249 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4250 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4250),X4249) )
      & ( X4250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4249 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4250),X4249) )
      & ( X4249 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4249 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4250),X4249) )
      & ( X4250 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4249 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4250),X4249) )
      & ( X4250 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4249 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4250),X4249) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__is__add])])]) ).

fof(i_0_1403,plain,
    ! [X4251,X4252] :
      ( ( X4252 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4252 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4252),X4251) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4251 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4252 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4252),X4251) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4252 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4251 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4252),X4251) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4251 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4251 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4252),X4251) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4252 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4251 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4252),X4251) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4252 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4251 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4252),X4251) = 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_1404,plain,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
       => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
        <=> X13 = X21 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv2]) ).

fof(i_0_1405,plain,
    ! [X4143] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4143),c_Nat_OSuc(X4143))),
    inference(variable_rename,[status(thm)],[fact_lessI]) ).

fof(i_0_1406,plain,
    ! [X8,X7,X6] :
      ( class_Orderings_Oorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X8))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7)) ) ),
    inference(fof_simplification,[status(thm)],[fact_xt1_I9_J]) ).

fof(i_0_1407,plain,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
      <=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X21),X13))
          | X13 = X21 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_not__less__iff__gr__or__eq]) ).

fof(i_0_1408,plain,
    ! [X5,X14,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14)) ) ),
    inference(fof_simplification,[status(thm)],[fact_leD]) ).

fof(i_0_1409,plain,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X21),X13)) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__not__less]) ).

fof(i_0_1410,plain,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
      <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X21),X13)) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__not__le]) ).

fof(i_0_1411,plain,
    ! [X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__asym]) ).

fof(i_0_1412,plain,
    ! [X7,X8,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X8),X7))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X7),X8)) ) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__asym_H]) ).

fof(i_0_1413,plain,
    ! [X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__imp__not__less]) ).

fof(i_0_1414,plain,
    ! [X14,X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__not__sym]) ).

fof(i_0_1415,plain,
    ! [X5413,X5414] : hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Ocis(X5414)),c_Complex_Ocis(X5413)) = c_Complex_Ocis(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5414,X5413)),
    inference(variable_rename,[status(thm)],[fact_cis__divide]) ).

fof(i_0_1416,plain,
    ! [X4628,X4629] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X4629)),c_Complex_Ocis(X4628)) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4629),X4628)),
    inference(variable_rename,[status(thm)],[fact_cis__mult]) ).

fof(i_0_1417,plain,
    ! [X25,X29] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X25))
     => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X25)) = X29 ),
    inference(fof_simplification,[status(thm)],[fact_add__diff__inverse]) ).

fof(i_0_1418,plain,
    ! [X21,X13,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X13),X21))
        <=> X13 = X21 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv1]) ).

fof(i_0_1419,plain,
    ! [X4349,X4350] :
      ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4350),X4349) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | X4349 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X4350 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4349 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4350),X4349) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
      & ( X4350 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
        | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4350),X4349) = 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_1420,plain,
    ! [X5254] : c_Complex_Ocis(X5254) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X5254),c_Transcendental_Osin(X5254)),
    inference(variable_rename,[status(thm)],[fact_cis__def]) ).

fof(i_0_1421,plain,
    ! [X4311] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4311)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4311)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc]) ).

fof(i_0_1422,plain,
    ! [X4238,X4240,X4241] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4238))
        | X4238 = c_Nat_OSuc(esk44_1(X4238)) )
      & ( X4240 != c_Nat_OSuc(X4241)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4240)) ) ),
    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_1423,plain,
    ! [X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,c_Groups_Oone__class_Oone(X6)),c_Groups_Ozero__class_Ozero(X6))) ),
    inference(fof_simplification,[status(thm)],[fact_not__one__less__zero]) ).

fof(i_0_1424,plain,
    ! [X6] :
      ( class_Rings_Olinordered__semidom(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oone__class_Oone(X6)),c_Groups_Ozero__class_Ozero(X6))) ),
    inference(fof_simplification,[status(thm)],[fact_not__one__le__zero]) ).

fof(i_0_1425,plain,
    ! [X5292] :
      ( X5292 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5292))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cos__arg__i__mult__zero])]) ).

fof(i_0_1426,plain,
    ! [X5,X14] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14),X5))
       => c_Nat__Transfer_Otsub(X5,X14) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5,X14) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14),X5))
       => c_Nat__Transfer_Otsub(X5,X14) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    inference(fof_simplification,[status(thm)],[fact_tsub__def]) ).

fof(i_0_1427,plain,
    ! [X4407,X4408] :
      ( ~ class_Power_Opower(X4408)
      | ~ class_Rings_Osemiring__0(X4408)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4408),c_Groups_Ozero__class_Ozero(X4408)),c_Nat_OSuc(X4407)) = c_Groups_Ozero__class_Ozero(X4408) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__Suc])]) ).

fof(i_0_1428,plain,
    ! [X4642] :
      ( c_Transcendental_Osin(X4642) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X4642)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sin__zero__abs__cos__one])]) ).

fof(i_0_1429,plain,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => ( X5 != X14
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__cases]) ).

fof(i_0_1430,plain,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( X5 != X14
       => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__neqE]) ).

fof(i_0_1431,plain,
    ! [X13,X21,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X21),X13))
       => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X13),X21))
        <=> X13 = X21 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv3]) ).

fof(i_0_1432,plain,
    ! [X14,X5,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( X5 != X14
       => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X14),X5)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__neqE__linordered__idom]) ).

fof(i_0_1433,plain,
    ! [X5,X14,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14)) ) ),
    inference(fof_simplification,[status(thm)],[fact_not__leE]) ).

fof(i_0_1434,plain,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5)) ) ),
    inference(fof_simplification,[status(thm)],[fact_leI]) ).

fof(i_0_1435,plain,
    ! [X14,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X5),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X6,X14),X5)) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__le__cases]) ).

fof(i_0_1436,plain,
    ! [X4657,X4658] : hAPP(c_Complex_ORe,c_Complex_Orcis(X4658,X4657)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4658),c_Transcendental_Ocos(X4657)),
    inference(variable_rename,[status(thm)],[fact_Re__rcis]) ).

fof(i_0_1437,plain,
    ! [X4655,X4656] : hAPP(c_Complex_OIm,c_Complex_Orcis(X4656,X4655)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4656),c_Transcendental_Osin(X4655)),
    inference(variable_rename,[status(thm)],[fact_Im__rcis]) ).

fof(i_0_1438,plain,
    ! [X5210] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5210,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X5210,
    inference(variable_rename,[status(thm)],[fact_div__1]) ).

fof(i_0_1439,plain,
    ! [X4221,X4222] :
      ( c_Nat_OSuc(X4222) != c_Nat_OSuc(X4221)
      | X4222 = X4221 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__inject])]) ).

fof(i_0_1440,plain,
    ! [X4219,X4220] :
      ( ( c_Nat_OSuc(X4220) != c_Nat_OSuc(X4219)
        | X4220 = X4219 )
      & ( X4220 != X4219
        | c_Nat_OSuc(X4220) = c_Nat_OSuc(X4219) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat_Oinject])]) ).

fof(i_0_1441,plain,
    ! [X14,X5] :
      ( X5 != X14
     => ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5),X14))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14),X5)) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__neqE__nat]) ).

fof(i_0_1442,plain,
    ! [X4695] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4695),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4695,
    inference(variable_rename,[status(thm)],[fact_diff__Suc__1]) ).

fof(i_0_1443,plain,
    ! [X5,X6] :
      ( class_Orderings_Opreorder(X6)
     => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X6,X5),X5)) ),
    inference(fof_simplification,[status(thm)],[fact_order__less__irrefl]) ).

fof(i_0_1444,plain,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(fof_simplification,[status(thm)],[fact_not__less0]) ).

fof(i_0_1445,plain,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(fof_simplification,[status(thm)],[fact_less__nat__zero__code]) ).

fof(i_0_1446,plain,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(fof_simplification,[status(thm)],[fact_less__zeroE]) ).

fof(i_0_1447,plain,
    ! [X4643] :
      ( c_Transcendental_Ocos(X4643) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
      | c_Transcendental_Osin(X4643) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cos__one__sin__zero])]) ).

fof(i_0_1448,plain,
    ! [X4301] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4301) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4301)),
    inference(variable_rename,[status(thm)],[fact_less__eq__Suc__le__raw]) ).

fof(i_0_1449,plain,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X25)),
    inference(fof_simplification,[status(thm)],[fact_less__not__refl]) ).

fof(i_0_1450,plain,
    ! [X25] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X25),X25)),
    inference(fof_simplification,[status(thm)],[fact_less__irrefl__nat]) ).

fof(i_0_1451,plain,
    ! [X4289] : c_Nat_OSuc(X4289) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4289),
    inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1__left]) ).

fof(i_0_1452,plain,
    ! [X4226] : c_Nat_OSuc(X4226) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_Suc__not__Zero]) ).

fof(i_0_1453,plain,
    ! [X4225] : c_Nat_OSuc(X4225) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_nat_Osimps_I3_J]) ).

fof(i_0_1454,plain,
    ! [X4223] : c_Nat_OSuc(X4223) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_Suc__neq__Zero]) ).

fof(i_0_1455,plain,
    ! [X4228] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X4228),
    inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).

fof(i_0_1456,plain,
    ! [X4227] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X4227),
    inference(variable_rename,[status(thm)],[fact_nat_Osimps_I2_J]) ).

fof(i_0_1457,plain,
    ! [X4224] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X4224),
    inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).

fof(i_0_1458,plain,
    ! [X4218] : c_Nat_OSuc(X4218) != X4218,
    inference(variable_rename,[status(thm)],[fact_Suc__n__not__n]) ).

fof(i_0_1459,plain,
    ! [X4217] : X4217 != c_Nat_OSuc(X4217),
    inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).

fof(i_0_1460,plain,
    ! [X5086,X5087,X5088] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5088))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5087,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5087,X5086))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X5088))),X5086)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_decr__lemma])]) ).

fof(i_0_1461,plain,
    ! [X5038,X5039,X5040,X5041,X5043] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5040,X5039),esk67_4(X5038,X5039,X5040,X5041)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5040,X5039),X5043))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5041,hAPP(X5038,X5043))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X5041,hAPP(X5038,X5039)))))
        | ~ class_RealVector_Oreal__normed__vector(X5041)
        | ~ class_Orderings_Oord(X5040) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5041,c_Groups_Ominus__class_Ominus(X5041,hAPP(X5038,X5039),hAPP(X5038,esk67_4(X5038,X5039,X5040,X5041))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5040,X5039),X5043))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5041,hAPP(X5038,X5043))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X5041,hAPP(X5038,X5039)))))
        | ~ class_RealVector_Oreal__normed__vector(X5041)
        | ~ class_Orderings_Oord(X5040) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_lemmaCauchy])])])])]) ).

fof(i_0_1462,plain,
    ! [X4925,X4926,X4927,X4928,X4929,X4930] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4930,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4930),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4930),X4929),X4928)),X4927)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4930),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4930),X4926),X4928)),X4925)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4930,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4930),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4930),c_Groups_Ominus__class_Ominus(X4930,X4929,X4926)),X4928)),X4927)),X4925))
        | ~ class_Rings_Oordered__ring(X4930) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4930,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4930),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4930),c_Groups_Ominus__class_Ominus(X4930,X4929,X4926)),X4928)),X4927)),X4925))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4930,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4930),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4930),X4929),X4928)),X4927)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4930),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4930),X4926),X4928)),X4925)))
        | ~ class_Rings_Oordered__ring(X4930) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__iff1])])]) ).

fof(i_0_1463,plain,
    ! [X4913,X4914,X4915,X4916,X4917,X4918] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4918,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4918),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4918),X4917),X4916)),X4915)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4918),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4918),X4914),X4916)),X4913)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4918,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4918),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4918),c_Groups_Ominus__class_Ominus(X4918,X4917,X4914)),X4916)),X4915)),X4913))
        | ~ class_Rings_Oordered__ring(X4918) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4918,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4918),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4918),c_Groups_Ominus__class_Ominus(X4918,X4917,X4914)),X4916)),X4915)),X4913))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4918,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4918),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4918),X4917),X4916)),X4915)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4918),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4918),X4914),X4916)),X4913)))
        | ~ class_Rings_Oordered__ring(X4918) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__iff1])])]) ).

fof(i_0_1464,plain,
    ! [X5089,X5090,X5091] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5091))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5090),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5089),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5089,X5090))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X5091)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_incr__lemma])]) ).

fof(i_0_1465,plain,
    ( c_SEQ_Osubseq(esk4_0)
    & c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,esk4_0)))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1272])])]) ).

fof(i_0_1466,plain,
    ! [X5016,X5017,X5018,X5019,X5020] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5019),X5018)),X5017)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5020),X5018)),X5016)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5019,X5020)),X5018)),X5017)),X5016))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5020),X5019)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5019,X5020)),X5018)),X5017)),X5016))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5019),X5018)),X5017)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5020),X5018)),X5016)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5020),X5019)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__add__iff1])])]) ).

fof(i_0_1467,plain,
    ! [X4998,X4999,X5000,X5001,X5002] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5001),X5000)),X4999)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5002),X5000)),X4998)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5001,X5002)),X5000)),X4999)),X4998))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5002),X5001)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5001,X5002)),X5000)),X4999)),X4998))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5001),X5000)),X4999)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5002),X5000)),X4998)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5002),X5001)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__le__add__iff1])])]) ).

fof(i_0_1468,plain,
    ! [X4118,X4119,X4120,X4121] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4120),esk35_4(X4118,X4119,X4120,X4121)))
        | c_SEQ_OBseq(X4121,X4119)
        | ~ class_RealVector_Oreal__normed__vector(X4121) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4121,hAPP(X4119,esk35_4(X4118,X4119,X4120,X4121)))),X4118))
        | c_SEQ_OBseq(X4121,X4119)
        | ~ class_RealVector_Oreal__normed__vector(X4121) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_BseqI2_H])])])]) ).

fof(i_0_1469,plain,
    ! [X4035,X4036,X4037] :
      ( ~ class_RealVector_Oreal__normed__vector(X4037)
      | ~ c_SEQ_OBseq(X4037,c_COMBB(tc_Nat_Onat,X4037,tc_Nat_Onat,X4036,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4035)))
      | c_SEQ_OBseq(X4037,X4036) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__offset])]) ).

fof(i_0_1470,plain,
    ! [X4919,X4920,X4921,X4922,X4923,X4924] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4924,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4924),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4924),X4923),X4922)),X4921)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4924),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4924),X4920),X4922)),X4919)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4924,X4921),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4924),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4924),c_Groups_Ominus__class_Ominus(X4924,X4920,X4923)),X4922)),X4919)))
        | ~ class_Rings_Oordered__ring(X4924) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4924,X4921),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4924),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4924),c_Groups_Ominus__class_Ominus(X4924,X4920,X4923)),X4922)),X4919)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4924,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4924),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4924),X4923),X4922)),X4921)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4924),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4924),X4920),X4922)),X4919)))
        | ~ class_Rings_Oordered__ring(X4924) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__iff2])])]) ).

fof(i_0_1471,plain,
    ! [X4907,X4908,X4909,X4910,X4911,X4912] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4912,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4912),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4912),X4911),X4910)),X4909)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4912),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4912),X4908),X4910)),X4907)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4912,X4909),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4912),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4912),c_Groups_Ominus__class_Ominus(X4912,X4908,X4911)),X4910)),X4907)))
        | ~ class_Rings_Oordered__ring(X4912) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4912,X4909),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4912),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4912),c_Groups_Ominus__class_Ominus(X4912,X4908,X4911)),X4910)),X4907)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4912,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4912),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4912),X4911),X4910)),X4909)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4912),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4912),X4908),X4910)),X4907)))
        | ~ class_Rings_Oordered__ring(X4912) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__iff2])])]) ).

fof(i_0_1472,plain,
    ! [X3029,X3030,X3031,X3032,X3033] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3031,X3032),X3030),X3029))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3032,hAPP(X3030,X3033)),hAPP(X3029,X3033)))
        | ~ class_Orderings_Oord(X3032) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3032,hAPP(X3030,esk2_4(X3029,X3030,X3031,X3032))),hAPP(X3029,esk2_4(X3029,X3030,X3031,X3032))))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3031,X3032),X3030),X3029))
        | ~ class_Orderings_Oord(X3032) ) ),
    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_1473,plain,
    ! [X5021,X5022,X5023,X5024,X5025] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5025),X5023)),X5022)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5024),X5023)),X5021)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5022),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5024,X5025)),X5023)),X5021)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5025),X5024)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5022),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5024,X5025)),X5023)),X5021)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5025),X5023)),X5022)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5024),X5023)),X5021)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5025),X5024)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__add__iff2])])]) ).

fof(i_0_1474,plain,
    ! [X4983,X4984,X4985,X4986,X4987] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4987),X4985)),X4984)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4986),X4985)),X4983)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4984),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4986,X4987)),X4985)),X4983)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4987),X4986)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4984),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4986,X4987)),X4985)),X4983)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4987),X4985)),X4984)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4986),X4985)),X4983)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4987),X4986)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__le__add__iff2])])]) ).

fof(i_0_1475,plain,
    ! [X5390,X5391,X5392] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X5392,X5391),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X5392,X5390),hAPP(X5392,X5391))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5390,X5391))),X5391)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X5392,X5390),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X5392,X5390),hAPP(X5392,X5391))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5390,X5391))),X5390)),
    inference(variable_rename,[status(thm)],[fact_lemma__MVT]) ).

fof(i_0_1476,plain,
    ! [X4753,X4754,X4755,X4756,X4757] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4757)
      | c_Groups_Ominus__class_Ominus(X4757,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4757),X4756),X4755),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4757),X4754),X4753)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4757),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4757),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4757),c_Groups_Ominus__class_Ominus(X4757,X4756,X4754)),c_Groups_Ominus__class_Ominus(X4757,X4755,X4753))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4757),c_Groups_Ominus__class_Ominus(X4757,X4756,X4754)),X4753))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4757),X4754),c_Groups_Ominus__class_Ominus(X4757,X4755,X4753))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oprod__diff__prod])]) ).

fof(i_0_1477,plain,
    ! [X4481,X4482] :
      ( X4482 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X4481 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X4482),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),esk54_2(X4481,X4482)),X4481))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_reduce__poly__simple])])]) ).

fof(i_0_1478,plain,
    ! [X3946,X3947,X3948] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3948)
      | ~ c_SEQ_Oconvergent(X3948,X3947)
      | ~ c_SEQ_Oconvergent(X3948,X3946)
      | c_SEQ_Oconvergent(X3948,c_COMBS(tc_Nat_Onat,X3948,X3948,c_COMBB(X3948,tc_fun(X3948,X3948),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X3948),X3947),X3946)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oconvergent])]) ).

fof(i_0_1479,plain,
    ! [X3949,X3950,X3951] :
      ( ~ class_RealVector_Oreal__normed__vector(X3951)
      | ~ c_SEQ_Oconvergent(X3951,X3950)
      | ~ c_SEQ_Oconvergent(X3951,X3949)
      | c_SEQ_Oconvergent(X3951,c_COMBS(tc_Nat_Onat,X3951,X3951,c_COMBB(X3951,tc_fun(X3951,X3951),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X3951),X3950),X3949)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convergent__add])]) ).

fof(i_0_1480,plain,
    ! [X4936,X4937,X4938,X4939,X4940] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X4940)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4940,c_Groups_Oabs__class_Oabs(X4940,c_Groups_Ominus__class_Ominus(X4940,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4940),X4939),X4938),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4940),X4937),X4936)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4940),c_Groups_Oabs__class_Oabs(X4940,c_Groups_Ominus__class_Ominus(X4940,X4939,X4937))),c_Groups_Oabs__class_Oabs(X4940,c_Groups_Ominus__class_Ominus(X4940,X4938,X4936))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__diff__triangle__ineq])]) ).

fof(i_0_1481,plain,
    ! [X5331,X5332,X5333] :
      ( ~ class_RealVector_Oreal__normed__field(X5333)
      | ~ c_SEQ_Oconvergent(X5333,X5332)
      | c_SEQ_Oconvergent(X5333,c_COMBC(tc_Nat_Onat,X5333,X5333,c_COMBB(X5333,tc_fun(X5333,X5333),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(X5333),X5332),X5331)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Oconvergent])]) ).

fof(i_0_1482,plain,
    ! [X3943,X3944,X3945] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3945)
      | ~ c_SEQ_Oconvergent(X3945,X3944)
      | c_SEQ_Oconvergent(X3945,c_COMBC(tc_Nat_Onat,X3945,X3945,c_COMBB(X3945,tc_fun(X3945,X3945),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X3945),X3944),X3943)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Oconvergent])]) ).

fof(i_0_1483,plain,
    ! [X5003,X5004,X5005,X5006,X5007] :
      ( ~ class_RealVector_Oreal__normed__vector(X5007)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5007,c_Groups_Ominus__class_Ominus(X5007,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5007),X5006),X5005),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5007),X5004),X5003)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5007,c_Groups_Ominus__class_Ominus(X5007,X5006,X5004))),c_RealVector_Onorm__class_Onorm(X5007,c_Groups_Ominus__class_Ominus(X5007,X5005,X5003))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__diff__triangle__ineq])]) ).

fof(i_0_1484,plain,
    ! [X4038,X4039,X4040] :
      ( ~ class_RealVector_Oreal__normed__vector(X4040)
      | ~ c_SEQ_OBseq(X4040,X4039)
      | c_SEQ_OBseq(X4040,c_COMBB(tc_Nat_Onat,X4040,tc_Nat_Onat,X4039,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4038))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__ignore__initial__segment])]) ).

fof(i_0_1485,plain,
    ! [X5061,X5062] : hBOOL(hAPP(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,X5062,X5061))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X5062),hAPP(c_Complex_ORe,X5061)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X5062),hAPP(c_Complex_OIm,X5061)))))),
    inference(variable_rename,[status(thm)],[fact_metric__bound__lemma]) ).

fof(i_0_1486,plain,
    ! [X5384,X5385,X5386,X5387,X5388,X5389] :
      ( ~ class_RealVector_Oreal__field(X5389)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5389),c_Groups_Ominus__class_Ominus(X5389,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5389),X5388),X5387),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5389),X5386),X5385))),X5384) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5389),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5389),X5388),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5389),c_Groups_Ominus__class_Ominus(X5389,X5387,X5385)),X5384))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5389),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5389),c_Groups_Ominus__class_Ominus(X5389,X5388,X5386)),X5384)),X5385)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_DERIV__mult__lemma])]) ).

fof(i_0_1487,negated_conjecture,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1273])])]) ).

fof(i_0_1488,plain,
    ! [X4590,X4591,X4592,X4593,X4594] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4594),X4593)),X4592)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4594),X4591)),X4590)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4592))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4592),X4594))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4590),X4594))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4593),X4591)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_unique__quotient__lemma])]) ).

fof(i_0_1489,plain,
    ! [X4579,X4580,X4581,X4582,X4583] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4583),X4582)),X4581)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4583),X4580)),X4579)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4579),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4583),X4579))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4583),X4581))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4580),X4582)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_unique__quotient__lemma__neg])]) ).

cnf(i_0_1490,plain,
    ( hBOOL(hAPP(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(esk41_2(X3,X2)))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk40_3(X3,X2,X1)))),X1))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1274]) ).

cnf(i_0_1491,plain,
    c_Nat_OSuc(X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[i_0_1275]) ).

cnf(i_0_1492,plain,
    ( hBOOL(hAPP(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(esk37_2(X3,X2)))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk36_3(X3,X2,X1)))),X1))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1276]) ).

cnf(i_0_1493,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1277]) ).

cnf(i_0_1494,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1278]) ).

fof(i_0_1495,plain,
    ! [X3846,X3847,X3848] :
      ( ( X3847 = c_Groups_Ozero__class_Ozero(X3848)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3848,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3848),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3847),X3847)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3846),X3846))),c_Groups_Ozero__class_Ozero(X3848)))
        | ~ class_Rings_Olinordered__ring__strict(X3848) )
      & ( X3846 = c_Groups_Ozero__class_Ozero(X3848)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3848,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3848),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3847),X3847)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3846),X3846))),c_Groups_Ozero__class_Ozero(X3848)))
        | ~ class_Rings_Olinordered__ring__strict(X3848) )
      & ( X3847 != c_Groups_Ozero__class_Ozero(X3848)
        | X3846 != c_Groups_Ozero__class_Ozero(X3848)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3848,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3848),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3847),X3847)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3846),X3846))),c_Groups_Ozero__class_Ozero(X3848)))
        | ~ class_Rings_Olinordered__ring__strict(X3848) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__squares__le__zero__iff])])]) ).

fof(i_0_1496,plain,
    ! [X3843,X3844,X3845] :
      ( ~ class_Rings_Olinordered__ring(X3845)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3845,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3845),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3845),X3844),X3844)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3845),X3843),X3843))),c_Groups_Ozero__class_Ozero(X3845))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1279])]) ).

fof(i_0_1497,plain,
    ! [X4116,X4117] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4117))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4116)),X4117)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4117),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X4116))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_LIMSEQ__inverse__realpow__zero__lemma])]) ).

cnf(i_0_1498,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),esk43_2(X2,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk42_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_1274]) ).

cnf(i_0_1499,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),esk39_2(X2,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk38_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_1276]) ).

fof(i_0_1500,plain,
    ! [X4573,X4574,X4575,X4576,X4577,X4578] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4578),X4577)),X4576) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4575),X4574)),X4573)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4575),X4574)),X4573)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4576),X4578))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4573))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4575))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4575),X4578))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4574),X4577)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono2__neg__lemma])]) ).

fof(i_0_1501,plain,
    ! [X5403,X5404] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X5404)),c_RealDef_Oreal(tc_Nat_Onat,X5403)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5404,X5403)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__div3]) ).

cnf(i_0_1502,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk43_2(X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk42_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_1274]) ).

cnf(i_0_1503,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk39_2(X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk38_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_1276]) ).

cnf(i_0_1504,plain,
    ( c_SEQ_OBseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk53_3(X2,X1,X3)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1280]) ).

cnf(i_0_1505,plain,
    ( c_SEQ_OBseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk51_3(X2,X1,X3)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1281]) ).

cnf(i_0_1506,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk58_2(X1,X2)))),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1282]) ).

fof(i_0_1507,plain,
    ! [X5092] :
      ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5092) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X5092),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5092,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X5092),c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5092,c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_unimodular__reduce__norm])]) ).

fof(i_0_1508,plain,
    ! [X3244,X3245,X3246,X3247,X3248,X3249] :
      ( ~ class_Rings_Olinordered__semiring__1__strict(X3249)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3249,X3248),X3247))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3249,X3246),X3247))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3249,c_Groups_Ozero__class_Ozero(X3249)),X3245))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3249,c_Groups_Ozero__class_Ozero(X3249)),X3244))
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3249),X3245),X3244) != c_Groups_Oone__class_Oone(X3249)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3249,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3249),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3249),X3245),X3248)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3249),X3244),X3246))),X3247)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convex__bound__lt])]) ).

fof(i_0_1509,plain,
    ! [X3829,X3830,X3831,X3832,X3833,X3834] :
      ( ~ class_Rings_Olinordered__semiring__1(X3834)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3834,X3833),X3832))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3834,X3831),X3832))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3834,c_Groups_Ozero__class_Ozero(X3834)),X3830))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3834,c_Groups_Ozero__class_Ozero(X3834)),X3829))
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3834),X3830),X3829) != c_Groups_Oone__class_Oone(X3834)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3834,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3834),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3834),X3830),X3833)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3834),X3829),X3831))),X3832)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convex__bound__le])]) ).

fof(i_0_1510,plain,
    ! [X4044,X4045,X4046] :
      ( ~ class_RealVector_Oreal__normed__vector(X4046)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4045))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4046,hAPP(X4044,esk31_3(X4044,X4045,X4046)))),X4045))
      | c_SEQ_OBseq(X4046,X4044) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_BseqI])])]) ).

fof(i_0_1511,plain,
    ! [X4023,X4024,X4026,X4027] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk27_2(X4023,X4024)))
        | ~ c_SEQ_OBseq(X4024,X4023)
        | ~ class_RealVector_Oreal__normed__vector(X4024) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4024,hAPP(X4023,X4026))),esk27_2(X4023,X4024)))
        | ~ c_SEQ_OBseq(X4024,X4023)
        | ~ class_RealVector_Oreal__normed__vector(X4024) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4027))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4024,hAPP(X4023,esk28_3(X4023,X4024,X4027)))),X4027))
        | c_SEQ_OBseq(X4024,X4023)
        | ~ class_RealVector_Oreal__normed__vector(X4024) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__def])])])])]) ).

fof(i_0_1512,plain,
    ! [X4518] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4518)),X4518)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4518),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4518),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4518)),X4518)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_odd__less__0])]) ).

fof(i_0_1513,plain,
    ! [X4595,X4596,X4597] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4597),X4596)),X4595)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4595))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4597))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4596),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_q__neg__lemma])]) ).

fof(i_0_1514,plain,
    ! [X4993,X4994,X4995,X4996,X4997] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4997),X4996))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4996),X4995)),X4994),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4997),X4995)),X4993)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4996,X4997)),X4995)),X4994),X4993) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__diff__add__eq1])]) ).

fof(i_0_1515,plain,
    ! [X4978,X4979,X4980,X4981,X4982] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4982),X4981))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4982),X4980)),X4979),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4981),X4980)),X4978)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4979,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4981,X4982)),X4980)),X4978)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__diff__add__eq2])]) ).

fof(i_0_1516,plain,
    ! [X4688,X4690,X4691] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4688)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4688,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4688),X4690),X4691))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4688,X4690)),c_RealVector_Onorm__class_Onorm(X4688,X4691))),esk63_1(X4688)))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Obounded])])])]) ).

fof(i_0_1517,plain,
    ! [X4009,X4011,X4012] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk24_1(X4009)))
        | ~ class_RealVector_Oreal__normed__algebra(X4009) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4009,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4009),X4011),X4012))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4009,X4011)),c_RealVector_Onorm__class_Onorm(X4009,X4012))),esk24_1(X4009))))
        | ~ class_RealVector_Oreal__normed__algebra(X4009) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ononneg__bounded])])])])]) ).

fof(i_0_1518,plain,
    ! [X3973,X3975,X3976] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk17_1(X3973)))
        | ~ class_RealVector_Oreal__normed__algebra(X3973) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3973,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3973),X3975),X3976))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3973,X3975)),c_RealVector_Onorm__class_Onorm(X3973,X3976))),esk17_1(X3973))))
        | ~ class_RealVector_Oreal__normed__algebra(X3973) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Opos__bounded])])])])]) ).

cnf(i_0_1519,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),c_Nat_OSuc(X3))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1283]) ).

cnf(i_0_1520,plain,
    ( c_SEQ_Omonoseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,c_Nat_OSuc(esk48_2(X2,X1)))),hAPP(X2,esk48_2(X2,X1))))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1284]) ).

cnf(i_0_1521,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3)),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1277]) ).

cnf(i_0_1522,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3)),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1278]) ).

fof(i_0_1523,plain,
    ! [X4584,X4585,X4586,X4587,X4588,X4589] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4589),X4588)),X4587) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4586),X4585)),X4584)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4586),X4585)),X4584)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4584),X4586))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4587))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4586))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4586),X4589))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4588),X4585)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono2__lemma])]) ).

cnf(i_0_1524,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(esk71_3(X2,X1,X3)))))
    | hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1285]) ).

cnf(i_0_1525,plain,
    ( c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1286]) ).

cnf(i_0_1526,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(esk71_3(X2,X1,X3)))))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1285]) ).

fof(i_0_1527,plain,
    ! [X5198,X5199] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X5199),X5198) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5199)),hAPP(c_Complex_ORe,X5198)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5199)),hAPP(c_Complex_OIm,X5198))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5199)),hAPP(c_Complex_OIm,X5198))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5199)),hAPP(c_Complex_ORe,X5198)))),
    inference(variable_rename,[status(thm)],[fact_complex__mult__def]) ).

fof(i_0_1528,plain,
    ! [X3940,X3941,X3942] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3942)
      | ~ c_SEQ_Oconvergent(X3942,X3941)
      | c_SEQ_Oconvergent(X3942,c_COMBB(X3942,X3942,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X3942),X3940),X3941)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Oconvergent])]) ).

fof(i_0_1529,plain,
    ! [X5494,X5495,X5496,X5497,X5498,X5499] : hAPP(c_COMBS(X5499,X5498,X5497,X5496,X5495),X5494) = hAPP(hAPP(X5496,X5494),hAPP(X5495,X5494)),
    inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).

fof(i_0_1530,plain,
    ! [X5488,X5489,X5490,X5491,X5492,X5493] : hAPP(c_COMBC(X5493,X5492,X5491,X5490,X5489),X5488) = hAPP(hAPP(X5490,X5488),X5489),
    inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).

fof(i_0_1531,plain,
    ! [X5482,X5483,X5484,X5485,X5486,X5487] : hAPP(c_COMBB(X5487,X5486,X5485,X5484,X5483),X5482) = hAPP(X5484,hAPP(X5483,X5482)),
    inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).

fof(i_0_1532,plain,
    ! [X3840,X3841,X3842] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3842,c_Groups_Ozero__class_Ozero(X3842)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3842),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3842),X3841),X3841)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3842),X3840),X3840))))
        | X3841 != c_Groups_Ozero__class_Ozero(X3842)
        | X3840 != c_Groups_Ozero__class_Ozero(X3842)
        | ~ class_Rings_Olinordered__ring__strict(X3842) )
      & ( X3841 = c_Groups_Ozero__class_Ozero(X3842)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3842,c_Groups_Ozero__class_Ozero(X3842)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3842),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3842),X3841),X3841)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3842),X3840),X3840))))
        | ~ class_Rings_Olinordered__ring__strict(X3842) )
      & ( X3840 = c_Groups_Ozero__class_Ozero(X3842)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3842,c_Groups_Ozero__class_Ozero(X3842)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3842),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3842),X3841),X3841)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3842),X3840),X3840))))
        | ~ class_Rings_Olinordered__ring__strict(X3842) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__squares__gt__zero__iff])])]) ).

fof(i_0_1533,plain,
    ! [X3971] :
      ( ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X3971)
      | c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X3971)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Re_Oconvergent])]) ).

fof(i_0_1534,plain,
    ! [X3972] :
      ( ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X3972)
      | c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X3972)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Im_Oconvergent])]) ).

fof(i_0_1535,plain,
    ! [X4781,X4782,X4783] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X4783)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4783,c_Groups_Oabs__class_Oabs(X4783,c_Groups_Ominus__class_Ominus(X4783,c_Groups_Oabs__class_Oabs(X4783,X4782),c_Groups_Oabs__class_Oabs(X4783,X4781)))),c_Groups_Oabs__class_Oabs(X4783,c_Groups_Ominus__class_Ominus(X4783,X4782,X4781)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq3])]) ).

fof(i_0_1536,plain,
    ! [X5071,X5072] : hBOOL(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X5072),X5071)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5072))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5071))),
    inference(variable_rename,[status(thm)],[fact_complex__mod__triangle__ineq2]) ).

fof(i_0_1537,plain,
    ! [X4698,X4699,X4700] :
      ( ~ class_RealVector_Oreal__normed__vector(X4700)
      | hBOOL(hAPP(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(X4700,X4699),c_RealVector_Onorm__class_Onorm(X4700,X4698)))),c_RealVector_Onorm__class_Onorm(X4700,c_Groups_Ominus__class_Ominus(X4700,X4699,X4698)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq3])]) ).

fof(i_0_1538,plain,
    ! [X4941,X4942,X4943,X4944] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4944,c_Groups_Ominus__class_Ominus(X4944,X4942,X4941)),X4943))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4944,c_Groups_Oabs__class_Oabs(X4944,c_Groups_Ominus__class_Ominus(X4944,X4943,X4942))),X4941))
        | ~ class_Rings_Olinordered__idom(X4944) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4944,X4943),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4944),X4942),X4941)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4944,c_Groups_Oabs__class_Oabs(X4944,c_Groups_Ominus__class_Ominus(X4944,X4943,X4942))),X4941))
        | ~ class_Rings_Olinordered__idom(X4944) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4944,c_Groups_Ominus__class_Ominus(X4944,X4942,X4941)),X4943))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4944,X4943),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4944),X4942),X4941)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4944,c_Groups_Oabs__class_Oabs(X4944,c_Groups_Ominus__class_Ominus(X4944,X4943,X4942))),X4941))
        | ~ class_Rings_Olinordered__idom(X4944) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__diff__less__iff])])]) ).

cnf(i_0_1539,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1287]) ).

cnf(i_0_1540,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1288]) ).

fof(i_0_1541,plain,
    ! [X4758,X4759,X4760,X4761,X4762,X4763] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4763),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4763),X4762),X4761)),X4760) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4763),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4763),X4759),X4761)),X4758)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4763),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4763),c_Groups_Ominus__class_Ominus(X4763,X4762,X4759)),X4761)),X4760) = X4758
        | ~ class_Rings_Oring(X4763) )
      & ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4763),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4763),c_Groups_Ominus__class_Ominus(X4763,X4762,X4759)),X4761)),X4760) != X4758
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4763),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4763),X4762),X4761)),X4760) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4763),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4763),X4759),X4761)),X4758)
        | ~ class_Rings_Oring(X4763) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__add__iff1])])]) ).

fof(i_0_1542,plain,
    ! [X4764,X4765,X4766,X4767,X4768,X4769] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4769),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4769),X4768),X4767)),X4766) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4769),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4769),X4765),X4767)),X4764)
        | X4766 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4769),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4769),c_Groups_Ominus__class_Ominus(X4769,X4765,X4768)),X4767)),X4764)
        | ~ class_Rings_Oring(X4769) )
      & ( X4766 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4769),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4769),c_Groups_Ominus__class_Ominus(X4769,X4765,X4768)),X4767)),X4764)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4769),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4769),X4768),X4767)),X4766) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4769),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4769),X4765),X4767)),X4764)
        | ~ class_Rings_Oring(X4769) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__add__iff2])])]) ).

fof(i_0_1543,plain,
    ! [X4988,X4989,X4990,X4991,X4992] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4991),X4990)),X4989) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4992),X4990)),X4988)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4991,X4992)),X4990)),X4989) = X4988
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4992),X4991)) )
      & ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4991,X4992)),X4990)),X4989) != X4988
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4991),X4990)),X4989) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4992),X4990)),X4988)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4992),X4991)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__eq__add__iff1])])]) ).

fof(i_0_1544,plain,
    ! [X4973,X4974,X4975,X4976,X4977] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4977),X4975)),X4974) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4976),X4975)),X4973)
        | X4974 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4976,X4977)),X4975)),X4973)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4977),X4976)) )
      & ( X4974 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4976,X4977)),X4975)),X4973)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4977),X4975)),X4974) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4976),X4975)),X4973)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4977),X4976)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__eq__add__iff2])])]) ).

fof(i_0_1545,plain,
    ! [X5200,X5201,X5202,X5204] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk68_3(X5200,X5201,X5202)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5201),X5200))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5202),X5201)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5202),X5204))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5201,X5204))),esk68_3(X5200,X5201,X5202)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5201),X5200))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5202),X5201)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5204),X5200))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5201,X5204))),esk68_3(X5200,X5201,X5202)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5201),X5200))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5202),X5201)) ) ),
    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__interval])])])])]) ).

cnf(i_0_1546,plain,
    c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X1)),c_Transcendental_Ocos(X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X1)),c_Transcendental_Osin(X2))),
    inference(split_conjunct,[status(thm)],[i_0_1289]) ).

cnf(i_0_1547,plain,
    hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)) = c_Transcendental_Osin(X1),
    inference(rw,[status(thm)],[i_0_1290,c_0_1291]) ).

cnf(i_0_1548,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)) = c_Transcendental_Ocos(X1),
    inference(rw,[status(thm)],[i_0_1292,c_0_1291]) ).

cnf(i_0_1549,plain,
    c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X2)),c_Transcendental_Ocos(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X2)),c_Transcendental_Osin(X1))),
    inference(split_conjunct,[status(thm)],[i_0_1293]) ).

fof(i_0_1550,plain,
    ! [X5401,X5402] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X5402)),c_RealDef_Oreal(tc_Nat_Onat,X5401)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5402,X5401))))),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__div2]) ).

cnf(i_0_1551,plain,
    c_Transcendental_Osin(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X1)),c_Transcendental_Ocos(X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X1)),c_Transcendental_Osin(X2))),
    inference(split_conjunct,[status(thm)],[i_0_1294]) ).

fof(i_0_1552,plain,
    ! [X2812,X2813] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2813)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X2813),X2812))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2812)))),
    inference(variable_rename,[status(thm)],[fact_complex__mod__triangle__sub]) ).

cnf(i_0_1553,plain,
    ( hBOOL(hAPP(X4,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2))))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1285]) ).

cnf(i_0_1554,plain,
    ( c_SEQ_Omonoseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk47_2(X2,X1))),hAPP(X2,c_Nat_OSuc(esk47_2(X2,X1)))))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1284]) ).

fof(i_0_1555,plain,
    ! [X3695,X3696,X3697,X3698,X3699] :
      ( ~ class_Rings_Olinordered__idom(X3699)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3699,c_Groups_Oabs__class_Oabs(X3699,X3698)),X3697))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3699,c_Groups_Oabs__class_Oabs(X3699,X3696)),X3695))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3699,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3699),c_Groups_Oabs__class_Oabs(X3699,X3698)),c_Groups_Oabs__class_Oabs(X3699,X3696))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3699),X3697),X3695))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult__less])]) ).

fof(i_0_1556,plain,
    ! [X4551,X4552,X4553] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4553),X4552)),X4551)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4551),X4553))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4553))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4552)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_q__pos__lemma])]) ).

cnf(i_0_1557,plain,
    ( X2 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1295]) ).

cnf(i_0_1558,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X1)),c_Transcendental_Ocos(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X1)),c_Transcendental_Osin(X1))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[i_0_1296]) ).

cnf(i_0_1559,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1297]) ).

cnf(i_0_1560,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1298]) ).

fof(i_0_1561,plain,
    ! [X3505,X3506,X3507,X3508,X3509] :
      ( ~ class_Rings_Osemiring(X3509)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3509),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3509),X3508),X3507)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3509),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3509),X3506),X3507)),X3505)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3509),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3509),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3509),X3508),X3506)),X3507)),X3505) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_combine__common__factor])]) ).

cnf(i_0_1562,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | ~ hBOOL(hAPP(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_1299]) ).

fof(i_0_1563,plain,
    ! [X4463,X4464,X4465] :
      ( ~ class_Rings_Olinordered__semidom(X4465)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4465,c_Groups_Ozero__class_Ozero(X4465)),X4464))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4465,X4464),c_Groups_Oone__class_Oone(X4465)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4465,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4465),X4464),hAPP(hAPP(c_Power_Opower__class_Opower(X4465),X4464),X4463))),hAPP(hAPP(c_Power_Opower__class_Opower(X4465),X4464),X4463))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc__less])]) ).

fof(i_0_1564,plain,
    ! [X3479,X3480,X3481,X3482,X3483] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3483)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3483,X3482)),X3481))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3483,X3480)),X3479))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3483,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3483),X3482),X3480))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3481),X3479))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult__less])]) ).

fof(i_0_1565,plain,
    ! [X3004,X3005,X3006,X3007,X3008] :
      ( ~ class_RealVector_Oreal__normed__vector(X3008)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3008,X3007)),X3006))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3008,X3005)),X3004))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3008,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3008),X3007),X3005))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3006),X3004))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__add__less])]) ).

cnf(i_0_1566,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3)),hAPP(X2,c_Nat_OSuc(X3))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,c_Nat_OSuc(X4))),hAPP(X2,X4)))
    | ~ c_SEQ_Omonoseq(X1,X2)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1284]) ).

fof(i_0_1567,plain,
    ! [X5501,X5502,X5503,X5504,X5505,X5506,X5507,X5508,X5509,X5510] :
      ( ( X5502 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | hBOOL(hAPP(X5503,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ epred1_3(X5503,X5502,X5501) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5502))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5505))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5505),X5502))
        | X5501 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5502),X5504)),X5505)
        | hBOOL(hAPP(X5503,X5504))
        | ~ epred1_3(X5503,X5502,X5501) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5502),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5502),X5507))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5507),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | X5501 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5502),X5506)),X5507)
        | hBOOL(hAPP(X5503,X5506))
        | ~ epred1_3(X5503,X5502,X5501) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | X5509 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5508,X5509,X5510)),X5509))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk73_3(X5508,X5509,X5510))),esk74_3(X5508,X5509,X5510))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5509),esk76_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5508,X5509,X5510)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( X5508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5509),esk75_3(X5508,X5509,X5510))),esk76_3(X5508,X5509,X5510))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) )
      & ( ~ hBOOL(hAPP(X5510,esk75_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,esk73_3(X5508,X5509,X5510)))
        | ~ hBOOL(hAPP(X5510,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | epred1_3(X5510,X5509,X5508) ) ),
    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_1271])])])])])]) ).

fof(i_0_1568,plain,
    ! [X3955,X3956,X3957,X3958] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3958),X3957)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3956),X3957)),X3955)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3958),X3956)),X3957)),X3955),
    inference(variable_rename,[status(thm)],[fact_left__add__mult__distrib]) ).

cnf(i_0_1569,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))),c_Groups_Oone__class_Oone(X1)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Oone__class_Oone(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1300]) ).

cnf(i_0_1570,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1288]) ).

cnf(i_0_1571,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1288]) ).

cnf(i_0_1572,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))),X2))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Oone__class_Oone(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1301]) ).

fof(i_0_1573,plain,
    ! [X4933,X4934,X4935] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X4935)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4935,c_Groups_Oabs__class_Oabs(X4935,c_Groups_Ominus__class_Ominus(X4935,X4934,X4933))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4935),c_Groups_Oabs__class_Oabs(X4935,X4934)),c_Groups_Oabs__class_Oabs(X4935,X4933)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq4])]) ).

fof(i_0_1574,plain,
    ! [X3849,X3850,X3851] :
      ( ~ class_Rings_Olinordered__ring(X3851)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3851,c_Groups_Ozero__class_Ozero(X3851)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3851),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3851),X3850),X3850)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3851),X3849),X3849)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__squares__ge__zero])]) ).

fof(i_0_1575,plain,
    ! [X4945,X4946,X4947] :
      ( ~ class_RealVector_Oreal__normed__vector(X4947)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4947,c_Groups_Ominus__class_Ominus(X4947,X4946,X4945))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4947,X4946)),c_RealVector_Onorm__class_Onorm(X4947,X4945)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq4])]) ).

cnf(i_0_1576,plain,
    c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X2)),c_Transcendental_Osin(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X2)),c_Transcendental_Ocos(X1))),
    inference(split_conjunct,[status(thm)],[i_0_1302]) ).

cnf(i_0_1577,plain,
    c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X1)),c_Transcendental_Ocos(X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X1)),c_Transcendental_Osin(X2))),
    inference(split_conjunct,[status(thm)],[i_0_1303]) ).

fof(i_0_1578,plain,
    ! [X2805,X2806,X2807] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2807)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2807,c_Groups_Oabs__class_Oabs(X2807,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2807),X2806),X2805))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2807),c_Groups_Oabs__class_Oabs(X2807,X2806)),c_Groups_Oabs__class_Oabs(X2807,X2805)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq])]) ).

cnf(i_0_1579,plain,
    c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X1)),c_Transcendental_Ocos(X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X1)),c_Transcendental_Osin(X2))),
    inference(split_conjunct,[status(thm)],[i_0_1304]) ).

fof(i_0_1580,plain,
    ! [X4680,X4681,X4683] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4681)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4681,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4681),X4683),X4680))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4681,X4683)),esk61_2(X4680,X4681)))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Obounded])])])]) ).

fof(i_0_1581,plain,
    ! [X4015,X4016,X4018] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk25_2(X4015,X4016)))
        | ~ class_RealVector_Oreal__normed__algebra(X4016) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4016,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4016),X4018),X4015))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4016,X4018)),esk25_2(X4015,X4016))))
        | ~ class_RealVector_Oreal__normed__algebra(X4016) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Ononneg__bounded])])])])]) ).

fof(i_0_1582,plain,
    ! [X3967,X3968,X3970] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk16_2(X3967,X3968)))
        | ~ class_RealVector_Oreal__normed__algebra(X3968) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3968,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3968),X3970),X3967))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3968,X3970)),esk16_2(X3967,X3968))))
        | ~ class_RealVector_Oreal__normed__algebra(X3968) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Opos__bounded])])])])]) ).

fof(i_0_1583,plain,
    ! [X3476,X3477,X3478] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3478)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3478,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3478),X3477),X3476))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3478,X3477)),c_RealVector_Onorm__class_Onorm(X3478,X3476)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult__ineq])]) ).

fof(i_0_1584,plain,
    ! [X4684,X4685,X4687] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4685)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4685,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4685),X4684),X4687))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4685,X4687)),esk62_2(X4684,X4685)))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Obounded])])])]) ).

fof(i_0_1585,plain,
    ! [X4019,X4020,X4022] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk26_2(X4019,X4020)))
        | ~ class_RealVector_Oreal__normed__algebra(X4020) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4020,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4020),X4019),X4022))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4020,X4022)),esk26_2(X4019,X4020))))
        | ~ class_RealVector_Oreal__normed__algebra(X4020) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Ononneg__bounded])])])])]) ).

fof(i_0_1586,plain,
    ! [X3977,X3978,X3980] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk18_2(X3977,X3978)))
        | ~ class_RealVector_Oreal__normed__algebra(X3978) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3978,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3978),X3977),X3980))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3978,X3980)),esk18_2(X3977,X3978))))
        | ~ class_RealVector_Oreal__normed__algebra(X3978) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Opos__bounded])])])])]) ).

fof(i_0_1587,plain,
    ! [X3009,X3010,X3011] :
      ( ~ class_RealVector_Oreal__normed__vector(X3011)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3011,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3011),X3010),X3009))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3011,X3010)),c_RealVector_Onorm__class_Onorm(X3011,X3009)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq])]) ).

cnf(i_0_1588,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(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_1305]) ).

fof(i_0_1589,plain,
    ! [X5409,X5410,X5411,X5412] :
      ( ~ class_Fields_Olinordered__field(X5412)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5412,X5411),X5410))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5412,c_Groups_Ozero__class_Ozero(X5412)),X5409))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5412,c_Groups_Ozero__class_Ozero(X5412)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5412),X5410),X5411)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5412,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5412),X5409),X5410)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5412),X5409),X5411))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__left__mono])]) ).

fof(i_0_1590,plain,
    ! [X4770,X4771,X4772,X4773,X4774] :
      ( ~ class_Rings_Oring(X4774)
      | c_Groups_Ominus__class_Ominus(X4774,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4774),X4773),X4772),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4774),X4771),X4770)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4774),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4774),X4773),c_Groups_Ominus__class_Ominus(X4774,X4772,X4770))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4774),c_Groups_Ominus__class_Ominus(X4774,X4773,X4771)),X4770)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__diff__mult])]) ).

cnf(i_0_1591,plain,
    c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X2)),c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))),
    inference(split_conjunct,[status(thm)],[i_0_1306]) ).

fof(i_0_1592,plain,
    ! [X5405,X5406,X5407,X5408] :
      ( ~ class_Fields_Olinordered__field__inverse__zero(X5408)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5408,X5407),X5406))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5408,X5405),c_Groups_Ozero__class_Ozero(X5408)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5408,c_Groups_Ozero__class_Ozero(X5408)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5408),X5407),X5406)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5408,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5408),X5405),X5407)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5408),X5405),X5406))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__left__mono__neg])]) ).

fof(i_0_1593,plain,
    ! [X5393,X5394] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5394,X5393))),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X5394)),c_RealDef_Oreal(tc_Nat_Onat,X5393)))),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__div4]) ).

fof(i_0_1594,plain,
    ! [X4107,X4108] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4108),X4107))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4108)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,X4107))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4108)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,X4107)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4108),X4107)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__real__le])]) ).

fof(i_0_1595,plain,
    ! [X4882,X4883,X4884] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4883,X4884)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4882,X4884)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4883),X4882))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4884),X4882))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4884),X4883)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4883),X4882))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4883,X4884)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4882,X4884)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4884),X4882))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4884),X4883)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__diff__iff])])]) ).

fof(i_0_1596,plain,
    ! [X4734,X4735,X4736] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4735,X4736)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4734,X4736)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4735),X4734))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4736),X4734))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4736),X4735)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4735),X4734))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4735,X4736)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4734,X4736)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4736),X4734))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4736),X4735)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__iff])])]) ).

fof(i_0_1597,plain,
    ! [X4778,X4779,X4780] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X4780)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4780,c_Groups_Ominus__class_Ominus(X4780,c_Groups_Oabs__class_Oabs(X4780,X4779),c_Groups_Oabs__class_Oabs(X4780,X4778))),c_Groups_Oabs__class_Oabs(X4780,c_Groups_Ominus__class_Ominus(X4780,X4779,X4778)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq2])]) ).

fof(i_0_1598,plain,
    ! [X4775,X4776,X4777] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X4777)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4777,c_Groups_Ominus__class_Ominus(X4777,c_Groups_Oabs__class_Oabs(X4777,X4776),c_Groups_Oabs__class_Oabs(X4777,X4775))),c_Groups_Oabs__class_Oabs(X4777,c_Groups_Ominus__class_Ominus(X4777,X4775,X4776)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq2__sym])]) ).

cnf(i_0_1599,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(X2))),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1307]) ).

fof(i_0_1600,plain,
    ! [X4229,X4230,X4231] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4231)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4231,hAPP(hAPP(c_Power_Opower__class_Opower(X4231),X4230),X4229))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4231,X4230)),X4229))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__power__ineq])]) ).

fof(i_0_1601,plain,
    ! [X4704,X4705,X4706] :
      ( ~ class_RealVector_Oreal__normed__vector(X4706)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4706,X4705),c_RealVector_Onorm__class_Onorm(X4706,X4704))),c_RealVector_Onorm__class_Onorm(X4706,c_Groups_Ominus__class_Ominus(X4706,X4705,X4704)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq2])]) ).

fof(i_0_1602,plain,
    ! [X5058,X5059,X5060] :
      ( ~ class_RealVector_Oreal__normed__vector(X5060)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5060,X5059),c_RealVector_Onorm__class_Onorm(X5060,X5058))),c_RealVector_Onorm__class_Onorm(X5060,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5060),X5059),X5058)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__diff__ineq])]) ).

fof(i_0_1603,plain,
    ! [X3734,X3735,X3736,X3737] :
      ( ~ class_Rings_Olinordered__semiring(X3737)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3737,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3737),X3736),X3735)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3737),X3734),X3735)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3737,c_Groups_Ozero__class_Ozero(X3737)),X3735))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3737,X3736),X3734)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__less__imp__less])]) ).

fof(i_0_1604,plain,
    ! [X3730,X3731,X3732,X3733] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3733)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3733,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3733),X3732),X3731)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3733),X3730),X3731)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3733,c_Groups_Ozero__class_Ozero(X3733)),X3731))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3733,X3732),X3730)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__imp__less__right])]) ).

fof(i_0_1605,plain,
    ! [X4421,X4422,X4423,X4424] :
      ( ~ class_Rings_Olinordered__semidom(X4424)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4424,hAPP(hAPP(c_Power_Opower__class_Opower(X4424),X4423),X4422)),hAPP(hAPP(c_Power_Opower__class_Opower(X4424),X4421),X4422)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4424,c_Groups_Ozero__class_Ozero(X4424)),X4421))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4424,X4423),X4421)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__imp__less__base])]) ).

fof(i_0_1606,plain,
    ! [X3726,X3727,X3728,X3729] :
      ( ~ class_Rings_Olinordered__semiring(X3729)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3729,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3729),X3728),X3727)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3729),X3728),X3726)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3729,c_Groups_Ozero__class_Ozero(X3729)),X3728))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3729,X3727),X3726)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__less__imp__less])]) ).

fof(i_0_1607,plain,
    ! [X3722,X3723,X3724,X3725] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3725)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3725,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3725),X3724),X3723)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3725),X3724),X3722)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3725,c_Groups_Ozero__class_Ozero(X3725)),X3724))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3725,X3723),X3722)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__imp__less__left])]) ).

fof(i_0_1608,plain,
    ! [X3678,X3679,X3680,X3681] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3681,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3681),X3680),X3679)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3681),X3680),X3678)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3681,X3679),X3678))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3681,c_Groups_Ozero__class_Ozero(X3681)),X3680))
        | ~ class_Rings_Olinordered__ring__strict(X3681) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3681,X3679),X3678))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3681,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3681),X3680),X3679)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3681),X3680),X3678)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3681,c_Groups_Ozero__class_Ozero(X3681)),X3680))
        | ~ class_Rings_Olinordered__ring__strict(X3681) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__pos])])]) ).

fof(i_0_1609,plain,
    ! [X3718,X3719,X3720,X3721] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3721)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3721,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3721),X3720),X3719)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3721),X3718),X3719)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3721,c_Groups_Ozero__class_Ozero(X3721)),X3719))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3721,X3720),X3718)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__le__imp__le])]) ).

fof(i_0_1610,plain,
    ! [X3714,X3715,X3716,X3717] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3717)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3717,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3717),X3716),X3715)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3717),X3716),X3714)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3717,c_Groups_Ozero__class_Ozero(X3717)),X3716))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3717,X3715),X3714)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__le__imp__le])]) ).

fof(i_0_1611,plain,
    ! [X3762,X3763,X3764,X3765] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3765,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3765),X3764),X3763)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3765),X3764),X3762)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3765,X3763),X3762))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3765,c_Groups_Ozero__class_Ozero(X3765)),X3764))
        | ~ class_Rings_Olinordered__ring__strict(X3765) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3765,X3763),X3762))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3765,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3765),X3764),X3763)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3765),X3764),X3762)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3765,c_Groups_Ozero__class_Ozero(X3765)),X3764))
        | ~ class_Rings_Olinordered__ring__strict(X3765) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__cancel__left__pos])])]) ).

fof(i_0_1612,plain,
    ! [X4455,X4456,X4457,X4458] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4458,hAPP(hAPP(c_Power_Opower__class_Opower(X4458),X4457),X4456)),hAPP(hAPP(c_Power_Opower__class_Opower(X4458),X4457),X4455)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4456),X4455))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4458,c_Groups_Oone__class_Oone(X4458)),X4457))
        | ~ class_Rings_Olinordered__semidom(X4458) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4456),X4455))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4458,hAPP(hAPP(c_Power_Opower__class_Opower(X4458),X4457),X4456)),hAPP(hAPP(c_Power_Opower__class_Opower(X4458),X4457),X4455)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4458,c_Groups_Oone__class_Oone(X4458)),X4457))
        | ~ class_Rings_Olinordered__semidom(X4458) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__increasing__iff])])]) ).

fof(i_0_1613,plain,
    ! [X4451,X4452,X4453,X4454] :
      ( ~ class_Rings_Olinordered__semidom(X4454)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4454,c_Groups_Oone__class_Oone(X4454)),X4453))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4454,hAPP(hAPP(c_Power_Opower__class_Opower(X4454),X4453),X4452)),hAPP(hAPP(c_Power_Opower__class_Opower(X4454),X4453),X4451)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4452),X4451)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__imp__less__exp])]) ).

fof(i_0_1614,plain,
    ! [X4338,X4339,X4340,X4341] :
      ( ~ class_Rings_Olinordered__semidom(X4341)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4341,c_Groups_Oone__class_Oone(X4341)),X4340))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4341,hAPP(hAPP(c_Power_Opower__class_Opower(X4341),X4340),X4339)),hAPP(hAPP(c_Power_Opower__class_Opower(X4341),X4340),X4338)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4339),X4338)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__le__imp__le__exp])]) ).

fof(i_0_1615,plain,
    ! [X4334,X4335,X4336,X4337] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4337,hAPP(hAPP(c_Power_Opower__class_Opower(X4337),X4336),X4335)),hAPP(hAPP(c_Power_Opower__class_Opower(X4337),X4336),X4334)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4335),X4334))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4337,c_Groups_Oone__class_Oone(X4337)),X4336))
        | ~ class_Rings_Olinordered__semidom(X4337) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4335),X4334))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4337,hAPP(hAPP(c_Power_Opower__class_Opower(X4337),X4336),X4335)),hAPP(hAPP(c_Power_Opower__class_Opower(X4337),X4336),X4334)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4337,c_Groups_Oone__class_Oone(X4337)),X4336))
        | ~ class_Rings_Olinordered__semidom(X4337) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__increasing__iff])])]) ).

fof(i_0_1616,plain,
    ! [X3659,X3660,X3661,X3662] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3662,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3662),X3661),X3660)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3662),X3661),X3659)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3662,X3659),X3660))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3662,X3661),c_Groups_Ozero__class_Ozero(X3662)))
        | ~ class_Rings_Olinordered__ring__strict(X3662) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3662,X3659),X3660))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3662,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3662),X3661),X3660)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3662),X3661),X3659)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3662,X3661),c_Groups_Ozero__class_Ozero(X3662)))
        | ~ class_Rings_Olinordered__ring__strict(X3662) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__neg])])]) ).

fof(i_0_1617,plain,
    ! [X3758,X3759,X3760,X3761] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3759)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3758)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,X3758),X3759))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3761,X3760),c_Groups_Ozero__class_Ozero(X3761)))
        | ~ class_Rings_Olinordered__ring__strict(X3761) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,X3758),X3759))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3759)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3758)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3761,X3760),c_Groups_Ozero__class_Ozero(X3761)))
        | ~ class_Rings_Olinordered__ring__strict(X3761) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__cancel__left__neg])])]) ).

fof(i_0_1618,plain,
    ! [X3682,X3683,X3684,X3685] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3684),c_Groups_Ozero__class_Ozero(X3685)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,c_Groups_Ozero__class_Ozero(X3685)),X3684))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3683)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3682)))
        | ~ class_Rings_Olinordered__ring__strict(X3685) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3682),X3683))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,c_Groups_Ozero__class_Ozero(X3685)),X3684))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3683)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3682)))
        | ~ class_Rings_Olinordered__ring__strict(X3685) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3684),c_Groups_Ozero__class_Ozero(X3685)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3683),X3682))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3683)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3682)))
        | ~ class_Rings_Olinordered__ring__strict(X3685) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3682),X3683))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3683),X3682))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3683)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3682)))
        | ~ class_Rings_Olinordered__ring__strict(X3685) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,c_Groups_Ozero__class_Ozero(X3685)),X3684))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3683),X3682))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3683)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3682)))
        | ~ class_Rings_Olinordered__ring__strict(X3685) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3684),c_Groups_Ozero__class_Ozero(X3685)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,X3682),X3683))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3685,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3683)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3685),X3684),X3682)))
        | ~ class_Rings_Olinordered__ring__strict(X3685) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__disj])])]) ).

fof(i_0_1619,plain,
    ! [X3686,X3687,X3688,X3689] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3687),c_Groups_Ozero__class_Ozero(X3689)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,c_Groups_Ozero__class_Ozero(X3689)),X3687))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3688),X3687)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3686),X3687)))
        | ~ class_Rings_Olinordered__ring__strict(X3689) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3686),X3688))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,c_Groups_Ozero__class_Ozero(X3689)),X3687))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3688),X3687)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3686),X3687)))
        | ~ class_Rings_Olinordered__ring__strict(X3689) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3687),c_Groups_Ozero__class_Ozero(X3689)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3688),X3686))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3688),X3687)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3686),X3687)))
        | ~ class_Rings_Olinordered__ring__strict(X3689) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3686),X3688))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3688),X3686))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3688),X3687)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3686),X3687)))
        | ~ class_Rings_Olinordered__ring__strict(X3689) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,c_Groups_Ozero__class_Ozero(X3689)),X3687))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3688),X3686))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3688),X3687)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3686),X3687)))
        | ~ class_Rings_Olinordered__ring__strict(X3689) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3687),c_Groups_Ozero__class_Ozero(X3689)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,X3686),X3688))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3689,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3688),X3687)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3689),X3686),X3687)))
        | ~ class_Rings_Olinordered__ring__strict(X3689) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__right__disj])])]) ).

fof(i_0_1620,plain,
    ! [X2783] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2783)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X2783)),
    inference(variable_rename,[status(thm)],[i_0_1308]) ).

fof(i_0_1621,plain,
    ! [X3753,X3754,X3755,X3756,X3757] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3757)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3757,X3756),X3755))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3757,X3754),X3753))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3757,c_Groups_Ozero__class_Ozero(X3757)),X3755))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3757,c_Groups_Ozero__class_Ozero(X3757)),X3754))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3757,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3757),X3756),X3754)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3757),X3755),X3753))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__mono])]) ).

fof(i_0_1622,plain,
    ! [X3748,X3749,X3750,X3751,X3752] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3752)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3752,X3751),X3750))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3752,X3749),X3748))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3752,c_Groups_Ozero__class_Ozero(X3752)),X3751))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3752,c_Groups_Ozero__class_Ozero(X3752)),X3749))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3752,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3752),X3751),X3749)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3752),X3750),X3748))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__mono_H])]) ).

fof(i_0_1623,plain,
    ! [X3738,X3739,X3740,X3741,X3742] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3742)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3742,X3741),X3740))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3742,X3739),X3738))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3742,c_Groups_Ozero__class_Ozero(X3742)),X3741))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3742,c_Groups_Ozero__class_Ozero(X3742)),X3739))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3742,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3742),X3741),X3739)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3742),X3740),X3738))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__less__imp__less])]) ).

fof(i_0_1624,plain,
    ! [X3743,X3744,X3745,X3746,X3747] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3747)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3747,X3746),X3745))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3747,X3744),X3743))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3747,c_Groups_Ozero__class_Ozero(X3747)),X3746))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3747,c_Groups_Ozero__class_Ozero(X3747)),X3744))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3747,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3747),X3746),X3744)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3747),X3745),X3743))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__le__imp__less])]) ).

fof(i_0_1625,plain,
    ! [X3585,X3586,X3587,X3588,X3589] :
      ( ~ class_Rings_Oordered__semiring(X3589)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3589,X3588),X3587))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3589,X3586),X3585))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3589,c_Groups_Ozero__class_Ozero(X3589)),X3588))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3589,c_Groups_Ozero__class_Ozero(X3589)),X3586))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3589,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3589),X3588),X3586)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3589),X3587),X3585))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__mono_H])]) ).

fof(i_0_1626,plain,
    ! [X3580,X3581,X3582,X3583,X3584] :
      ( ~ class_Rings_Oordered__semiring(X3584)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3584,X3583),X3582))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3584,X3581),X3580))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3584,c_Groups_Ozero__class_Ozero(X3584)),X3582))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3584,c_Groups_Ozero__class_Ozero(X3584)),X3581))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3584,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3584),X3583),X3581)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3584),X3582),X3580))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__mono])]) ).

fof(i_0_1627,plain,
    ! [X5036] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,esk66_1(X5036),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X5036))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5036)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5036),c_RealDef_Oreal(tc_Nat_Onat,esk66_1(X5036))))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5036)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_reals__Archimedean6])])])]) ).

fof(i_0_1628,plain,
    ! [X4433,X4434,X4435] :
      ( ~ class_Rings_Olinordered__semidom(X4435)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4435,c_Groups_Oone__class_Oone(X4435)),X4434))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4435,hAPP(hAPP(c_Power_Opower__class_Opower(X4435),X4434),X4433)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4435),X4434),hAPP(hAPP(c_Power_Opower__class_Opower(X4435),X4434),X4433)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__power__Suc])]) ).

cnf(i_0_1629,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk52_2(X2,X1)))))
    | ~ c_SEQ_OBseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1280]) ).

cnf(i_0_1630,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk50_2(X2,X1)))))
    | ~ c_SEQ_OBseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1281]) ).

fof(i_0_1631,plain,
    ! [X4063,X4064] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4064))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4063))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X4064)),c_RComplete_Onatfloor(X4063))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4064),X4063)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__mult__natfloor])]) ).

fof(i_0_1632,plain,
    ! [X5269,X5270,X5271,X5272] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X5272,X5271)),c_Complex_Ocomplex_OComplex(X5270,X5269)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5272),X5270),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5271),X5269)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5272),X5269)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5271),X5270))),
    inference(variable_rename,[status(thm)],[fact_complex__mult]) ).

cnf(i_0_1633,plain,
    ( c_SEQ_Osubseq(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,esk49_1(X1))),hAPP(X1,c_Nat_OSuc(esk49_1(X1))))) ),
    inference(split_conjunct,[status(thm)],[i_0_1309]) ).

fof(i_0_1634,plain,
    ! [X4353,X4354,X4355] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4355))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4355),X4354)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4355),X4353)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4354),X4353)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__power__less__imp__less])]) ).

fof(i_0_1635,plain,
    ! [X3935,X3936,X3937] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3937),X3936)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3937),X3935)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3936),X3935))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3937)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3936),X3935))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3937),X3936)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3937),X3935)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3937)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__less__cancel1])])]) ).

fof(i_0_1636,plain,
    ! [X3705,X3706,X3707] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3706),X3707)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3705),X3707)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3706),X3705))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3707)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3706),X3705))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3706),X3707)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3705),X3707)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3707)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__less__iff1])])]) ).

fof(i_0_1637,plain,
    ! [X3458,X3459,X3460] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3460),X3459)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3458),X3459)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3459))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3460),X3458)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3459))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3460),X3459)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3458),X3459))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3460),X3458))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3460),X3459)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3458),X3459))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__cancel2])])]) ).

fof(i_0_1638,plain,
    ! [X3928,X3929,X3930] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3930),X3929)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3930),X3928)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3929),X3928))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3930)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3929),X3928))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3930),X3929)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3930),X3928)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3930)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__le__cancel1])])]) ).

fof(i_0_1639,plain,
    ! [X3461,X3462,X3463] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3463),X3462)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3463),X3461)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3463))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3462),X3461)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3463))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3463),X3462)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3463),X3461))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3462),X3461))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3463),X3462)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3463),X3461))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__cancel1])])]) ).

fof(i_0_1640,plain,
    ! [X3781,X3782,X3783] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3782),X3783)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3781),X3783)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3782),X3781))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3783)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3782),X3781))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3782),X3783)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3781),X3783)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3783)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__le__cancel__iff1])])]) ).

fof(i_0_1641,plain,
    ! [X3778,X3779,X3780] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3780),X3779)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3780),X3778)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3779),X3778))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3780)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3779),X3778))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3780),X3779)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3780),X3778)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3780)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__le__cancel__iff2])])]) ).

fof(i_0_1642,plain,
    ! [X2919,X2920,X2921,X2922] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2922,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2922),X2921),X2920)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2922),X2919),X2920)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2922,X2921),X2919))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2922) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2922,X2921),X2919))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2922,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2922),X2921),X2920)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2922),X2919),X2920)))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2922) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__cancel__right])])]) ).

fof(i_0_1643,plain,
    ! [X2898,X2899,X2900,X2901] :
      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2901)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2901,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2901),X2900),X2899)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2901),X2898),X2899)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2901,X2900),X2898)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__imp__less__right])]) ).

fof(i_0_1644,plain,
    ! [X2915,X2916,X2917,X2918] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2918,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2918),X2917),X2916)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2918),X2917),X2915)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2918,X2916),X2915))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2918) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2918,X2916),X2915))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2918,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2918),X2917),X2916)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2918),X2917),X2915)))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2918) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__cancel__left])])]) ).

fof(i_0_1645,plain,
    ! [X2894,X2895,X2896,X2897] :
      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2897)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2897,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2897),X2896),X2895)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2897),X2896),X2894)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2897,X2895),X2894)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__imp__less__left])]) ).

fof(i_0_1646,plain,
    ! [X2890,X2891,X2892,X2893] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2893,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2893),X2892),X2891)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2893),X2890),X2891)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2893,X2892),X2890))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2893) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2893,X2892),X2890))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2893,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2893),X2892),X2891)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2893),X2890),X2891)))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2893) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__right])])]) ).

fof(i_0_1647,plain,
    ! [X2869,X2870,X2871,X2872] :
      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2872)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2872,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2872),X2871),X2870)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2872),X2869),X2870)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2872,X2871),X2869)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__imp__le__right])]) ).

fof(i_0_1648,plain,
    ! [X2886,X2887,X2888,X2889] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2889,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2889),X2888),X2887)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2889),X2888),X2886)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2889,X2887),X2886))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2889) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2889,X2887),X2886))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2889,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2889),X2888),X2887)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2889),X2888),X2886)))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2889) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__left])])]) ).

fof(i_0_1649,plain,
    ! [X2865,X2866,X2867,X2868] :
      ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X2868)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2868,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2868),X2867),X2866)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2868),X2867),X2865)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2868,X2866),X2865)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__imp__le__left])]) ).

cnf(i_0_1650,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = c_Nat_OSuc(hAPP(hAPP(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_1310]) ).

cnf(i_0_1651,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))),X4)
    | ~ class_Groups_Omonoid__mult(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1311]) ).

fof(i_0_1652,plain,
    ! [X3427,X3428,X3429,X3430,X3431] :
      ( ( X3430 = X3429
        | X3428 = X3427
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3431),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3430),X3428)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3429),X3427)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3431),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3430),X3427)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3429),X3428))
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3431) )
      & ( X3430 != X3429
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3431),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3430),X3428)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3429),X3427)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3431),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3430),X3427)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3429),X3428))
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3431) )
      & ( X3428 != X3427
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3431),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3430),X3428)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3429),X3427)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3431),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3430),X3427)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3431),X3429),X3428))
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3431) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_crossproduct__noteq])])]) ).

fof(i_0_1653,plain,
    ! [X3414,X3415,X3416,X3417,X3418] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3418),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3417),X3416)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3415),X3414)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3418),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3417),X3414)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3415),X3416))
        | X3417 = X3415
        | X3416 = X3414
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3418) )
      & ( X3417 != X3415
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3418),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3417),X3416)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3415),X3414)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3418),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3417),X3414)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3415),X3416))
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3418) )
      & ( X3416 != X3414
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3418),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3417),X3416)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3415),X3414)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3418),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3417),X3414)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3418),X3415),X3416))
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3418) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_crossproduct__eq])])]) ).

fof(i_0_1654,plain,
    ! [X4327,X4328,X4329,X4330] :
      ( ~ class_Rings_Olinordered__semidom(X4330)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4330,X4329),X4328))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4330,c_Groups_Ozero__class_Ozero(X4330)),X4329))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4327))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4330,hAPP(hAPP(c_Power_Opower__class_Opower(X4330),X4329),X4327)),hAPP(hAPP(c_Power_Opower__class_Opower(X4330),X4328),X4327))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__mono])]) ).

fof(i_0_1655,plain,
    ! [X4469,X4470,X4471,X4472] :
      ( ~ class_Rings_Olinordered__semidom(X4472)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4471),X4470))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4472,c_Groups_Ozero__class_Ozero(X4472)),X4469))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4472,X4469),c_Groups_Oone__class_Oone(X4472)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4472,hAPP(hAPP(c_Power_Opower__class_Opower(X4472),X4469),X4470)),hAPP(hAPP(c_Power_Opower__class_Opower(X4472),X4469),X4471))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__decreasing])]) ).

fof(i_0_1656,plain,
    ! [X4477,X4478,X4479,X4480] :
      ( ~ class_Rings_Olinordered__semidom(X4480)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4479),X4478))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4480,c_Groups_Ozero__class_Ozero(X4480)),X4477))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4480,X4477),c_Groups_Oone__class_Oone(X4480)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4480,hAPP(hAPP(c_Power_Opower__class_Opower(X4480),X4477),X4478)),hAPP(hAPP(c_Power_Opower__class_Opower(X4480),X4477),X4479))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__decreasing])]) ).

cnf(i_0_1657,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1)),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1312]) ).

cnf(i_0_1658,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1)),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1313]) ).

cnf(i_0_1659,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1314]) ).

fof(i_0_1660,plain,
    ! [X5166,X5167,X5168] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5168))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5167))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5167),X5166))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5168,X5166)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5168,X5167))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono2])]) ).

fof(i_0_1661,plain,
    ! [X4865,X4866,X4867] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4865),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4866,X4867)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4865),X4867)),X4866))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4867),X4866)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4865),X4867)),X4866))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4865),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4866,X4867)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4867),X4866)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__conv2])])]) ).

fof(i_0_1662,plain,
    ! [X5155,X5156,X5157] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5157),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5156))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5156),X5155))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5157,X5156)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5157,X5155))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono2__neg])]) ).

fof(i_0_1663,plain,
    ! [X4672] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4672))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4672))),X4672)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__add__one__self__le__self])]) ).

fof(i_0_1664,plain,
    ! [X3467,X3468,X3469] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3469))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3469),X3468)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3469),X3467))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3468),X3467))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3469),X3468)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3469),X3467))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3469))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3468),X3467))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3469),X3468)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3469),X3467))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel1])])]) ).

fof(i_0_1665,plain,
    ! [X3464,X3465,X3466] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3465))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3466),X3465)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3464),X3465))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3466),X3464))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3466),X3465)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3464),X3465))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3465))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3466),X3464))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3466),X3465)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3464),X3465))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel2])])]) ).

fof(i_0_1666,plain,
    ! [X5259,X5260,X5261,X5262,X5263,X5264,X5265,X5266] :
      ( ( X5259 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(X5261,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | ~ hBOOL(hAPP(X5261,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5260,X5259))) )
      & ( X5259 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5263),X5259))
        | X5260 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5259),X5262)),X5263)
        | hBOOL(hAPP(X5261,X5262))
        | ~ hBOOL(hAPP(X5261,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5260,X5259))) )
      & ( X5264 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X5264 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(X5266,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5265,X5264))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk70_3(X5264,X5265,X5266)),X5264))
        | X5264 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(X5266,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5265,X5264))) )
      & ( X5265 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5264),esk69_3(X5264,X5265,X5266))),esk70_3(X5264,X5265,X5266))
        | X5264 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(X5266,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5265,X5264))) )
      & ( ~ hBOOL(hAPP(X5266,esk69_3(X5264,X5265,X5266)))
        | X5264 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(X5266,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5265,X5264))) )
      & ( X5264 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(X5266,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X5266,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5265,X5264))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk70_3(X5264,X5265,X5266)),X5264))
        | ~ hBOOL(hAPP(X5266,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X5266,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5265,X5264))) )
      & ( X5265 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5264),esk69_3(X5264,X5265,X5266))),esk70_3(X5264,X5265,X5266))
        | ~ hBOOL(hAPP(X5266,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X5266,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5265,X5264))) )
      & ( ~ hBOOL(hAPP(X5266,esk69_3(X5264,X5265,X5266)))
        | ~ hBOOL(hAPP(X5266,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X5266,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5265,X5264))) ) ),
    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_split__div])])])])])]) ).

fof(i_0_1667,plain,
    ! [X3271,X3272,X3273] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3273),X3272)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3273),X3271)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3272),X3271)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3272),X3271))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3273),X3272)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3273),X3271))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel__less])]) ).

fof(i_0_1668,plain,
    ! [X3274,X3275,X3276] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3276),X3275)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3276),X3274)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3275),X3274)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3275),X3274))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3276),X3275)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3276),X3274))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel__le])]) ).

fof(i_0_1669,plain,
    ! [X4854,X4855,X4856] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4856,X4855)),X4854))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4856),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4854),X4855))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4856),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4854),X4855)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4856,X4855)),X4854)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__conv])]) ).

fof(i_0_1670,plain,
    ! [X4061,X4062] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4062)),X4061))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4061),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4062)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
      | c_RComplete_Onatceiling(X4061) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4062),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__eq])]) ).

fof(i_0_1671,plain,
    ! [X3625,X3626,X3627] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,X3626),c_Groups_Ozero__class_Ozero(X3627)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,c_Groups_Ozero__class_Ozero(X3627)),X3626))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3627),X3626),X3625)),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ class_Rings_Olinordered__ring__strict(X3627) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,c_Groups_Ozero__class_Ozero(X3627)),X3625))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,c_Groups_Ozero__class_Ozero(X3627)),X3626))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3627),X3626),X3625)),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ class_Rings_Olinordered__ring__strict(X3627) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,X3626),c_Groups_Ozero__class_Ozero(X3627)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,X3625),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3627),X3626),X3625)),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ class_Rings_Olinordered__ring__strict(X3627) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,c_Groups_Ozero__class_Ozero(X3627)),X3625))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,X3625),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3627),X3626),X3625)),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ class_Rings_Olinordered__ring__strict(X3627) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,c_Groups_Ozero__class_Ozero(X3627)),X3626))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,X3625),c_Groups_Ozero__class_Ozero(X3627)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3627),X3626),X3625)),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ class_Rings_Olinordered__ring__strict(X3627) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,X3626),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,c_Groups_Ozero__class_Ozero(X3627)),X3625))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3627,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3627),X3626),X3625)),c_Groups_Ozero__class_Ozero(X3627)))
        | ~ class_Rings_Olinordered__ring__strict(X3627) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__0__iff])])]) ).

fof(i_0_1672,plain,
    ! [X5142,X5143] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5142,X5143)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5142),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5143)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5142),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5142,X5143)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5143)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__imp__zdiv__neg__iff])])]) ).

fof(i_0_1673,plain,
    ! [X3649,X3650,X3651,X3652] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3652)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3652,X3651),X3650))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3652,c_Groups_Ozero__class_Ozero(X3652)),X3649))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3652,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3652),X3651),X3649)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3652),X3650),X3649))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__right__mono])]) ).

fof(i_0_1674,plain,
    ! [X3645,X3646,X3647,X3648] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3648)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3648,X3647),X3646))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3648,c_Groups_Ozero__class_Ozero(X3648)),X3645))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3648,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3648),X3645),X3647)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3648),X3645),X3646))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__left__mono])]) ).

fof(i_0_1675,plain,
    ! [X3641,X3642,X3643,X3644] :
      ( ~ class_Rings_Olinordered__comm__semiring__strict(X3644)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3644,X3643),X3642))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3644,c_Groups_Ozero__class_Ozero(X3644)),X3641))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3644,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3644),X3641),X3643)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3644),X3641),X3642))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__mult__strict__left__mono])]) ).

fof(i_0_1676,plain,
    ! [X4390,X4391,X4392,X4393] :
      ( ~ class_Rings_Olinordered__semidom(X4393)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4393,X4392),X4391))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4393,c_Groups_Ozero__class_Ozero(X4393)),X4392))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4393,hAPP(hAPP(c_Power_Opower__class_Opower(X4393),X4392),X4390)),hAPP(hAPP(c_Power_Opower__class_Opower(X4393),X4391),X4390))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mono])]) ).

fof(i_0_1677,plain,
    ! [X3606,X3607,X3608,X3609] :
      ( ~ class_Rings_Oordered__semiring(X3609)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3609,X3608),X3607))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3609,c_Groups_Ozero__class_Ozero(X3609)),X3606))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3609,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3609),X3608),X3606)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3609),X3607),X3606))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__mono])]) ).

fof(i_0_1678,plain,
    ! [X3598,X3599,X3600,X3601] :
      ( ~ class_Rings_Oordered__comm__semiring(X3601)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3601,X3600),X3599))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3601,c_Groups_Ozero__class_Ozero(X3601)),X3598))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3601,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3601),X3598),X3600)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3601),X3598),X3599))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__mult__left__mono])]) ).

fof(i_0_1679,plain,
    ! [X3602,X3603,X3604,X3605] :
      ( ~ class_Rings_Oordered__semiring(X3605)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3605,X3604),X3603))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3605,c_Groups_Ozero__class_Ozero(X3605)),X3602))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3605,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3605),X3602),X3604)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3605),X3602),X3603))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__mono])]) ).

fof(i_0_1680,plain,
    ! [X5140,X5141] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5140,X5141)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5140))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5141),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5140))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5140,X5141)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5141),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__imp__zdiv__neg__iff])])]) ).

fof(i_0_1681,plain,
    ! [X4094,X4095] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X4095)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4094))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4095),c_RealDef_Oreal(tc_Nat_Onat,X4094))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ge__natfloor__plus__one__imp__gt])]) ).

fof(i_0_1682,plain,
    ! [X4674,X4675] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4674))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4675),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,esk59_2(X4674,X4675))),X4674))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_reals__Archimedean3])])])]) ).

fof(i_0_1683,plain,
    ! [X4447,X4448,X4449,X4450] :
      ( ~ class_Rings_Olinordered__semidom(X4450)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4449),X4448))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4450,c_Groups_Oone__class_Oone(X4450)),X4447))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4450,hAPP(hAPP(c_Power_Opower__class_Opower(X4450),X4447),X4449)),hAPP(hAPP(c_Power_Opower__class_Opower(X4450),X4447),X4448))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__increasing])]) ).

fof(i_0_1684,plain,
    ! [X4459,X4460,X4461,X4462] :
      ( ~ class_Rings_Olinordered__semidom(X4462)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4461),X4460))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4462,c_Groups_Oone__class_Oone(X4462)),X4459))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4462,hAPP(hAPP(c_Power_Opower__class_Opower(X4462),X4459),X4461)),hAPP(hAPP(c_Power_Opower__class_Opower(X4462),X4459),X4460))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__increasing])]) ).

cnf(i_0_1685,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))),
    inference(split_conjunct,[status(thm)],[i_0_1315]) ).

cnf(i_0_1686,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))),
    inference(split_conjunct,[status(thm)],[i_0_1316]) ).

cnf(i_0_1687,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1317]) ).

fof(i_0_1688,plain,
    ! [X3769,X3770,X3771] :
      ( ~ class_Rings_Olinordered__idom(X3771)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3771,c_Groups_Ozero__class_Ozero(X3771)),X3770))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3771,c_Groups_Ozero__class_Ozero(X3771)),X3769))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3771,X3769),c_Groups_Oone__class_Oone(X3771)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3771,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3771),X3770),X3769)),X3770)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__le__one__le])]) ).

fof(i_0_1689,plain,
    ! [X3766,X3767,X3768] :
      ( ~ class_Rings_Olinordered__idom(X3768)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3768,c_Groups_Ozero__class_Ozero(X3768)),X3767))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3768,c_Groups_Ozero__class_Ozero(X3768)),X3766))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3768,X3766),c_Groups_Oone__class_Oone(X3768)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3768,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3768),X3766),X3767)),X3767)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__le__one__le])]) ).

fof(i_0_1690,plain,
    ! [X3637,X3638,X3639,X3640] :
      ( ~ class_Rings_Olinordered__ring__strict(X3640)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3640,X3639),X3638))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3640,X3637),c_Groups_Ozero__class_Ozero(X3640)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3640,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3640),X3638),X3637)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3640),X3639),X3637))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__right__mono__neg])]) ).

fof(i_0_1691,plain,
    ! [X3633,X3634,X3635,X3636] :
      ( ~ class_Rings_Olinordered__ring__strict(X3636)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3636,X3635),X3634))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3636,X3633),c_Groups_Ozero__class_Ozero(X3636)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3636,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3636),X3633),X3634)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3636),X3633),X3635))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__left__mono__neg])]) ).

fof(i_0_1692,plain,
    ! [X3594,X3595,X3596,X3597] :
      ( ~ class_Rings_Oordered__ring(X3597)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3597,X3596),X3595))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3597,X3594),c_Groups_Ozero__class_Ozero(X3597)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3597,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3597),X3595),X3594)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3597),X3596),X3594))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__mono__neg])]) ).

fof(i_0_1693,plain,
    ! [X3590,X3591,X3592,X3593] :
      ( ~ class_Rings_Oordered__ring(X3593)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3593,X3592),X3591))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3593,X3590),c_Groups_Ozero__class_Ozero(X3593)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3593,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3593),X3590),X3591)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3593),X3590),X3592))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__mono__neg])]) ).

fof(i_0_1694,plain,
    ! [X4096,X4097] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4097)),X4096))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4096),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4097)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
      | c_RComplete_Onatfloor(X4096) = X4097 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__eq])]) ).

fof(i_0_1695,plain,
    ! [X4888,X4889,X4890] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4890),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4889,X4888)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4890),X4888)),X4889)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4890),X4888)),X4889))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4890),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4889,X4888))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__diff__conv])]) ).

fof(i_0_1696,plain,
    ! [X2902,X2903,X2904,X2905,X2906] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2906)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2906,X2905),X2904))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2906,X2903),X2902))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2906,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2906),X2905),X2903)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2906),X2904),X2902))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__mono])]) ).

fof(i_0_1697,plain,
    ! [X2979,X2980,X2981,X2982,X2983] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2983)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2983,X2982),X2981))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2983,X2980),X2979))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2983,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2983),X2982),X2980)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2983),X2981),X2979))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__less__mono])]) ).

fof(i_0_1698,plain,
    ! [X2984,X2985,X2986,X2987,X2988] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2988)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2988,X2987),X2986))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2988,X2985),X2984))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2988,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2988),X2987),X2985)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2988),X2986),X2984))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__le__mono])]) ).

fof(i_0_1699,plain,
    ! [X2873,X2874,X2875,X2876,X2877] :
      ( ~ class_Groups_Oordered__ab__semigroup__add(X2877)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2877,X2876),X2875))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2877,X2874),X2873))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2877,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2877),X2876),X2874)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2877),X2875),X2873))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__mono])]) ).

fof(i_0_1700,plain,
    ! [X5150,X5151,X5152] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5152),X5151))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5150))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5152,X5150)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5151,X5150))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono1])]) ).

fof(i_0_1701,plain,
    ! [X5228,X5229,X5230] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5230))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5230),X5229))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5228,X5229)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5228,X5230))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__le__mono2])]) ).

fof(i_0_1702,plain,
    ! [X5147,X5148,X5149] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5149),X5148))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5147),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5148,X5147)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5149,X5147))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono1__neg])]) ).

cnf(i_0_1703,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1318]) ).

cnf(i_0_1704,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1319]) ).

fof(i_0_1705,plain,
    ! [X4885,X4886,X4887] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4887),X4886))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4885),X4887))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4887,X4885)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4886,X4885))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less__mono])]) ).

fof(i_0_1706,plain,
    ! [X4826,X4827,X4828] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4828),X4827))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4828),X4826))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4826,X4827)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4826,X4828))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less__mono2])]) ).

fof(i_0_1707,plain,
    ! [X4109,X4110] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4110),X4109))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4110)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4109)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4110)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4109)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4110),X4109)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__le__real__less])]) ).

fof(i_0_1708,plain,
    ! [X3346,X3347,X3348,X3349,X3350] :
      ( ~ class_Rings_Ocomm__semiring__1(X3350)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3350),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3350),X3349),X3348)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3350),X3347),X3346)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3350),X3347),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3350),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3350),X3349),X3348)),X3346)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J])]) ).

fof(i_0_1709,plain,
    ! [X5194,X5195,X5196,X5197] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5196))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5196))
        | X5196 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5197,X5196) = X5195
        | X5197 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5196),X5195)),X5194) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5196),X5194))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5194),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5196))
        | X5196 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5197,X5196) = X5195
        | X5197 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5196),X5195)),X5194) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5196))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5194))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5194),X5196))
        | X5196 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5197,X5196) = X5195
        | X5197 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5196),X5195)),X5194) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5196),X5194))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5194),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5194))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5194),X5196))
        | X5196 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5197,X5196) = X5195
        | X5197 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5196),X5195)),X5194) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1320])])]) ).

cnf(i_0_1710,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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1321]) ).

cnf(i_0_1711,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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1),c_Nat_OSuc(X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1322]) ).

fof(i_0_1712,plain,
    ! [X4750,X4751,X4752] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4752,X4751),X4750))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4752,c_Groups_Ominus__class_Ominus(X4752,X4751,X4750)),c_Groups_Ozero__class_Ozero(X4752)))
        | ~ class_Groups_Oordered__ab__group__add(X4752) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4752,c_Groups_Ominus__class_Ominus(X4752,X4751,X4750)),c_Groups_Ozero__class_Ozero(X4752)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4752,X4751),X4750))
        | ~ class_Groups_Oordered__ab__group__add(X4752) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__iff__diff__less__0])])]) ).

fof(i_0_1713,plain,
    ! [X4701,X4702,X4703] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4703,X4702),X4701))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4703,c_Groups_Ominus__class_Ominus(X4703,X4702,X4701)),c_Groups_Ozero__class_Ozero(X4703)))
        | ~ class_Groups_Oordered__ab__group__add(X4703) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4703,c_Groups_Ominus__class_Ominus(X4703,X4702,X4701)),c_Groups_Ozero__class_Ozero(X4703)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4703,X4702),X4701))
        | ~ class_Groups_Oordered__ab__group__add(X4703) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__iff__diff__le__0])])]) ).

fof(i_0_1714,plain,
    ! [X2780] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X2780)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(variable_rename,[status(thm)],[fact_th]) ).

fof(i_0_1715,plain,
    ! [X4436,X4437,X4438] :
      ( ~ class_Rings_Olinordered__semidom(X4438)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4438,c_Groups_Oone__class_Oone(X4438)),X4437))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4438,c_Groups_Oone__class_Oone(X4438)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4438),X4437),hAPP(hAPP(c_Power_Opower__class_Opower(X4438),X4437),X4436)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__gt1__lemma])]) ).

cnf(i_0_1716,plain,
    hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Nat_OSuc(X5)) = hAPP(hAPP(X3,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),
    inference(split_conjunct,[status(thm)],[i_0_1323]) ).

fof(i_0_1717,plain,
    ! [X4692,X4693,X4694] :
      ( ~ class_Groups_Omonoid__mult(X4694)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4693))
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4694),hAPP(hAPP(c_Power_Opower__class_Opower(X4694),X4692),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4693,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X4692) = hAPP(hAPP(c_Power_Opower__class_Opower(X4694),X4692),X4693) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__minus__mult])]) ).

fof(i_0_1718,plain,
    ! [X2975,X2976] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2976,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2976),X2975),X2975)),c_Groups_Ozero__class_Ozero(X2976)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2976,X2975),c_Groups_Ozero__class_Ozero(X2976)))
        | ~ class_Groups_Olinordered__ab__group__add(X2976) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2976,X2975),c_Groups_Ozero__class_Ozero(X2976)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2976,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2976),X2975),X2975)),c_Groups_Ozero__class_Ozero(X2976)))
        | ~ class_Groups_Olinordered__ab__group__add(X2976) ) ),
    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_1719,plain,
    ! [X3024,X3025] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3025,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3025),X3024),X3024)),c_Groups_Ozero__class_Ozero(X3025)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3025,X3024),c_Groups_Ozero__class_Ozero(X3025)))
        | ~ class_Rings_Olinordered__idom(X3025) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3025,X3024),c_Groups_Ozero__class_Ozero(X3025)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3025,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3025),X3024),X3024)),c_Groups_Ozero__class_Ozero(X3025)))
        | ~ class_Rings_Olinordered__idom(X3025) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_even__less__0__iff])])]) ).

fof(i_0_1720,plain,
    ! [X2961,X2962] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2962,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2962),X2961),X2961)),c_Groups_Ozero__class_Ozero(X2962)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2962,X2961),c_Groups_Ozero__class_Ozero(X2962)))
        | ~ class_Groups_Olinordered__ab__group__add(X2962) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2962,X2961),c_Groups_Ozero__class_Ozero(X2962)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2962,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2962),X2961),X2961)),c_Groups_Ozero__class_Ozero(X2962)))
        | ~ class_Groups_Olinordered__ab__group__add(X2962) ) ),
    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_1721,plain,
    ! [X4029,X4030,X4031,X4032] :
      ( ( ~ c_SEQ_Oincseq(X4030,X4029)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4031),X4032))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4030,hAPP(X4029,X4031)),hAPP(X4029,X4032)))
        | ~ class_Orderings_Oorder(X4030) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk29_2(X4029,X4030)),esk30_2(X4029,X4030)))
        | c_SEQ_Oincseq(X4030,X4029)
        | ~ class_Orderings_Oorder(X4030) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4030,hAPP(X4029,esk29_2(X4029,X4030))),hAPP(X4029,esk30_2(X4029,X4030))))
        | c_SEQ_Oincseq(X4030,X4029)
        | ~ class_Orderings_Oorder(X4030) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_incseq__def])])])])]) ).

fof(i_0_1722,plain,
    ! [X3999,X4000,X4001,X4002] :
      ( ( ~ c_SEQ_Odecseq(X4000,X3999)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4001),X4002))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4000,hAPP(X3999,X4002)),hAPP(X3999,X4001)))
        | ~ class_Orderings_Oorder(X4000) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk21_2(X3999,X4000)),esk22_2(X3999,X4000)))
        | c_SEQ_Odecseq(X4000,X3999)
        | ~ class_Orderings_Oorder(X4000) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4000,hAPP(X3999,esk22_2(X3999,X4000))),hAPP(X3999,esk21_2(X3999,X4000))))
        | c_SEQ_Odecseq(X4000,X3999)
        | ~ class_Orderings_Oorder(X4000) ) ),
    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_1723,plain,
    ! [X3852,X3853,X3854,X3855,X3856,X3857] :
      ( ( ~ c_SEQ_Omonoseq(X3853,X3852)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3854),X3855))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3853,hAPP(X3852,X3854)),hAPP(X3852,X3855)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3856),X3857))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3853,hAPP(X3852,X3857)),hAPP(X3852,X3856)))
        | ~ class_Orderings_Oorder(X3853) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk5_2(X3852,X3853)),esk6_2(X3852,X3853)))
        | c_SEQ_Omonoseq(X3853,X3852)
        | ~ class_Orderings_Oorder(X3853) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3853,hAPP(X3852,esk5_2(X3852,X3853))),hAPP(X3852,esk6_2(X3852,X3853))))
        | c_SEQ_Omonoseq(X3853,X3852)
        | ~ class_Orderings_Oorder(X3853) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk7_2(X3852,X3853)),esk8_2(X3852,X3853)))
        | c_SEQ_Omonoseq(X3853,X3852)
        | ~ class_Orderings_Oorder(X3853) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3853,hAPP(X3852,esk8_2(X3852,X3853))),hAPP(X3852,esk7_2(X3852,X3853))))
        | c_SEQ_Omonoseq(X3853,X3852)
        | ~ class_Orderings_Oorder(X3853) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monoseq__def])])])])]) ).

fof(i_0_1724,plain,
    ! [X4498,X4499,X4500] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4500),X4499))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4498))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4498),X4500)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4498),X4499))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmult__zless__mono2])]) ).

fof(i_0_1725,plain,
    ! [X3449,X3450,X3451] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3451),X3450))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3449))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3451),X3449)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3450),X3449))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__mono1])]) ).

fof(i_0_1726,plain,
    ! [X3446,X3447,X3448] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3448),X3447))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3446))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3446),X3448)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3446),X3447))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__mono2])]) ).

fof(i_0_1727,plain,
    ! [X3700,X3701,X3702] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3702))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3701),X3700))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3702),X3701)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3702),X3700))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__less__mono2])]) ).

fof(i_0_1728,plain,
    ! [X3836,X3837,X3838,X3839] :
      ( ~ class_RealVector_Oreal__normed__vector(X3839)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3838),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3839,X3837)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3838),c_RealVector_Onorm__class_Onorm(X3839,X3836))))
      | X3837 = c_Groups_Ozero__class_Ozero(X3839) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__ratiotest__lemma])]) ).

cnf(i_0_1729,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1324]) ).

cnf(i_0_1730,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(split_conjunct,[status(thm)],[i_0_1325]) ).

cnf(i_0_1731,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Osin(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(split_conjunct,[status(thm)],[i_0_1326]) ).

cnf(i_0_1732,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X3))))
    | X3 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1295]) ).

fof(i_0_1733,plain,
    ! [X5056,X5057] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5057),X5056))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5057,X5056)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5057,X5056)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5057),X5056)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__bin__lemma])]) ).

fof(i_0_1734,plain,
    ! [X5044,X5045] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5045),X5044))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5045,X5044)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5045,X5044)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5045),X5044)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__eq__diff])]) ).

fof(i_0_1735,plain,
    ! [X4508,X4509,X4510,X4511] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4511),X4510))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4509),X4508))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4511),X4509)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4510),X4508))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__zless__mono])]) ).

fof(i_0_1736,plain,
    ! [X3295,X3296,X3297,X3298] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3298),X3297))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3296),X3295))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3298),X3296)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3297),X3295))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__mono])]) ).

fof(i_0_1737,plain,
    ! [X3361,X3362,X3363,X3364] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3364),X3363))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3362),X3361))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3364),X3362)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3363),X3361))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__mono])]) ).

fof(i_0_1738,plain,
    ! [X3299,X3300,X3301,X3302] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3302),X3301))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3300),X3299))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3302),X3300)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3301),X3299))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__mono])]) ).

cnf(i_0_1739,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1327]) ).

fof(i_0_1740,plain,
    ! [X2911,X2912,X2913,X2914] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2914)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2914,X2913),X2912))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2914,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2914),X2913),X2911)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2914),X2912),X2911))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__right__mono])]) ).

fof(i_0_1741,plain,
    ! [X2907,X2908,X2909,X2910] :
      ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X2910)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2910,X2909),X2908))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2910,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2910),X2907),X2909)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2910),X2907),X2908))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__left__mono])]) ).

fof(i_0_1742,plain,
    ! [X2882,X2883,X2884,X2885] :
      ( ~ class_Groups_Oordered__ab__semigroup__add(X2885)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2885,X2884),X2883))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2885,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2885),X2884),X2882)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2885),X2883),X2882))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__mono])]) ).

fof(i_0_1743,plain,
    ! [X2878,X2879,X2880,X2881] :
      ( ~ class_Groups_Oordered__ab__semigroup__add(X2881)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2881,X2880),X2879))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2881,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2881),X2878),X2880)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2881),X2878),X2879))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__mono])]) ).

fof(i_0_1744,plain,
    ! [X3905,X3906] : hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X3906),X3905)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X3906)),hAPP(c_Complex_OIm,X3905))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X3906)),hAPP(c_Complex_ORe,X3905))),
    inference(variable_rename,[status(thm)],[fact_complex__Im__mult]) ).

cnf(i_0_1745,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
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1328]) ).

fof(i_0_1746,plain,
    ! [X3656,X3657,X3658] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3658)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3658,X3657),c_Groups_Ozero__class_Ozero(X3658)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3658,c_Groups_Ozero__class_Ozero(X3658)),X3656))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3658,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3658),X3657),X3656)),c_Groups_Ozero__class_Ozero(X3658))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__neg__pos])]) ).

fof(i_0_1747,plain,
    ! [X3672,X3673,X3674] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3674)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3674,c_Groups_Ozero__class_Ozero(X3674)),X3673))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3674,X3672),c_Groups_Ozero__class_Ozero(X3674)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3674,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3674),X3673),X3672)),c_Groups_Ozero__class_Ozero(X3674))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__neg])]) ).

fof(i_0_1748,plain,
    ! [X3669,X3670,X3671] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3671)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3671,c_Groups_Ozero__class_Ozero(X3671)),X3670))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3671,X3669),c_Groups_Ozero__class_Ozero(X3671)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3671,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3671),X3669),X3670)),c_Groups_Ozero__class_Ozero(X3671))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__neg2])]) ).

fof(i_0_1749,plain,
    ! [X3613,X3614,X3615] :
      ( ~ class_Rings_Oordered__cancel__semiring(X3615)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3615,X3614),c_Groups_Ozero__class_Ozero(X3615)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3615,c_Groups_Ozero__class_Ozero(X3615)),X3613))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3615,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3615),X3614),X3613)),c_Groups_Ozero__class_Ozero(X3615))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonpos__nonneg])]) ).

fof(i_0_1750,plain,
    ! [X3574,X3575,X3576] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3576,c_Groups_Ozero__class_Ozero(X3576)),X3575))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3576,X3574),c_Groups_Ozero__class_Ozero(X3576)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3576,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3576),X3575),X3574)),c_Groups_Ozero__class_Ozero(X3576)))
        | ~ class_Rings_Oordered__cancel__semiring(X3576) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3576,X3575),c_Groups_Ozero__class_Ozero(X3576)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3576,c_Groups_Ozero__class_Ozero(X3576)),X3574))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3576,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3576),X3575),X3574)),c_Groups_Ozero__class_Ozero(X3576)))
        | ~ class_Rings_Oordered__cancel__semiring(X3576) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mult__neg__le])])]) ).

fof(i_0_1751,plain,
    ! [X3619,X3620,X3621] :
      ( ~ class_Rings_Oordered__cancel__semiring(X3621)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3621,c_Groups_Ozero__class_Ozero(X3621)),X3620))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3621,X3619),c_Groups_Ozero__class_Ozero(X3621)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3621,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3621),X3620),X3619)),c_Groups_Ozero__class_Ozero(X3621))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonpos])]) ).

fof(i_0_1752,plain,
    ! [X3616,X3617,X3618] :
      ( ~ class_Rings_Oordered__cancel__semiring(X3618)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3618,c_Groups_Ozero__class_Ozero(X3618)),X3617))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3618,X3616),c_Groups_Ozero__class_Ozero(X3618)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3618,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3618),X3616),X3617)),c_Groups_Ozero__class_Ozero(X3618))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonpos2])]) ).

fof(i_0_1753,plain,
    ! [X3862,X3863,X3864] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3864),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3863)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3864),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3862))))
      | X3863 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rabs__ratiotest__lemma])]) ).

fof(i_0_1754,plain,
    ! [X5213,X5214,X5215] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5215),X5214))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5215,X5213)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5214,X5213))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__le__mono])]) ).

fof(i_0_1755,plain,
    ! [X4723,X4724,X4725] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4725),X4724))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4725,X4723)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4724,X4723))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__le__mono])]) ).

fof(i_0_1756,plain,
    ! [X4720,X4721,X4722] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4722),X4721))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4720,X4721)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4720,X4722))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__le__mono2])]) ).

cnf(i_0_1757,plain,
    ( X2 = X4
    | ~ class_Rings_Olinordered__semidom(X1)
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),c_Nat_OSuc(X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1329]) ).

fof(i_0_1758,plain,
    ! [X2965,X2966,X2967] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2967)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2967,X2966),c_Groups_Ozero__class_Ozero(X2967)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2967,X2965),c_Groups_Ozero__class_Ozero(X2967)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2967,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2967),X2966),X2965)),c_Groups_Ozero__class_Ozero(X2967))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__neg__neg])]) ).

fof(i_0_1759,plain,
    ! [X2802,X2803,X2804] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2804)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2804,X2803),c_Groups_Ozero__class_Ozero(X2804)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2804,X2802),c_Groups_Ozero__class_Ozero(X2804)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2804,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2804),X2803),X2802)),c_Groups_Ozero__class_Ozero(X2804))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonpos__neg])]) ).

fof(i_0_1760,plain,
    ! [X2799,X2800,X2801] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2801)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2801,X2800),c_Groups_Ozero__class_Ozero(X2801)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2801,X2799),c_Groups_Ozero__class_Ozero(X2801)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2801,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2801),X2800),X2799)),c_Groups_Ozero__class_Ozero(X2801))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__neg__nonpos])]) ).

fof(i_0_1761,plain,
    ! [X2944,X2945,X2946] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2946)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2946,X2945),c_Groups_Ozero__class_Ozero(X2946)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2946,X2944),c_Groups_Ozero__class_Ozero(X2946)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2946,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2946),X2945),X2944)),c_Groups_Ozero__class_Ozero(X2946))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonpos__nonpos])]) ).

fof(i_0_1762,plain,
    ! [X4519,X4520] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4520),c_Groups_Oone__class_Oone(tc_Int_Oint))),X4519))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4520),X4519)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4520),X4519))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4520),c_Groups_Oone__class_Oone(tc_Int_Oint))),X4519)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add1__zle__eq])]) ).

cnf(i_0_1763,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1330]) ).

cnf(i_0_1764,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1331]) ).

cnf(i_0_1765,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1332]) ).

cnf(i_0_1766,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1333]) ).

cnf(i_0_1767,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1334]) ).

fof(i_0_1768,plain,
    ! [X3690,X3691] :
      ( ~ class_Rings_Olinordered__ring(X3691)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3691,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3691),X3690),X3690)),c_Groups_Ozero__class_Ozero(X3691))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1335])]) ).

cnf(i_0_1769,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1336]) ).

cnf(i_0_1770,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1)),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1312]) ).

cnf(i_0_1771,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1)),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1337]) ).

cnf(i_0_1772,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1314]) ).

fof(i_0_1773,plain,
    ! [X3663,X3664,X3665] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3665)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3665,c_Groups_Ozero__class_Ozero(X3665)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3665),X3664),X3663)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3665,c_Groups_Ozero__class_Ozero(X3665)),X3663))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3665,c_Groups_Ozero__class_Ozero(X3665)),X3664)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__mult__pos2])]) ).

fof(i_0_1774,plain,
    ! [X3666,X3667,X3668] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3668)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3668,c_Groups_Ozero__class_Ozero(X3668)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3668),X3667),X3666)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3668,c_Groups_Ozero__class_Ozero(X3668)),X3667))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3668,c_Groups_Ozero__class_Ozero(X3668)),X3666)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__mult__pos])]) ).

fof(i_0_1775,plain,
    ! [X5106,X5107] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5107))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X5106))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5107,X5106)),X5107)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__div__less__self])]) ).

fof(i_0_1776,plain,
    ! [X5219,X5220] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5220))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5219))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5219,X5220)),X5219)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__less__dividend])]) ).

fof(i_0_1777,plain,
    ! [X4903,X4904] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4904))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4903))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4903,X4904)),X4903)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less])]) ).

fof(i_0_1778,plain,
    ! [X5138,X5139] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5139),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5138))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5139,X5138)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__neg__pos__less0])]) ).

fof(i_0_1779,plain,
    ! [X5164,X5165] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5165))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5164),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5165,X5164)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__nonneg__neg__le0])]) ).

fof(i_0_1780,plain,
    ! [X5158,X5159] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5159),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5158))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5159,X5158)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__nonpos__pos__le0])]) ).

fof(i_0_1781,plain,
    ! [X4857,X4858,X4859] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4859),X4858))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4857),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4858),X4857),X4859))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__diff])]) ).

fof(i_0_1782,plain,
    ! [X3307,X3308,X3309] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3309),X3308)),X3307))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3309),X3307)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__lessD1])]) ).

fof(i_0_1783,plain,
    ! [X3316,X3317,X3318] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3318),X3316))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3318),X3317)),X3316)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3317),X3316))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3318),X3317)),X3316)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1338])])]) ).

fof(i_0_1784,plain,
    ! [X3313,X3314,X3315] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3315),X3314)),X3313))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3315),X3313)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__leD1])]) ).

fof(i_0_1785,plain,
    ! [X3310,X3311,X3312] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3312),X3311)),X3310))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3311),X3310)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__leD2])]) ).

cnf(i_0_1786,plain,
    ( X2 = X3
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1339]) ).

cnf(i_0_1787,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk55_1(X1)))))
    | ~ hBOOL(hAPP(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_1340]) ).

fof(i_0_1788,plain,
    ! [X4512,X4513,X4514] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4514),X4513))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4514),X4512)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4513),X4512))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__strict__right__mono])]) ).

fof(i_0_1789,plain,
    ! [X3289,X3290,X3291] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3291),X3290))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3291),X3289)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3290),X3289))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__mono1])]) ).

fof(i_0_1790,plain,
    ! [X4554,X4555,X4556] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4556),X4555))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4554),X4556)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4554),X4555))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__left__mono])]) ).

fof(i_0_1791,plain,
    ! [X3375,X3376,X3377] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3377),X3376))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3377),X3375)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3376),X3375))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__mono1])]) ).

fof(i_0_1792,plain,
    ! [X3372,X3373,X3374] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3374),X3373))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3372),X3374)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3372),X3373))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__mono2])]) ).

fof(i_0_1793,plain,
    ! [X3292,X3293,X3294] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3294),X3293))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3294),X3292)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3293),X3292))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__mono1])]) ).

fof(i_0_1794,plain,
    ! [X2941,X2942,X2943] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2943),X2942))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X2941),X2943)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X2941),X2942))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__left__mono])]) ).

fof(i_0_1795,plain,
    ! [X3351,X3352,X3353,X3354,X3355] :
      ( ~ class_Rings_Ocomm__semiring__1(X3355)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3355),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3355),X3354),X3353)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3355),X3352),X3351)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3355),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3355),X3354),X3352)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3355),X3353),X3351)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J])]) ).

fof(i_0_1796,plain,
    ! [X3784,X3785,X3786,X3787,X3788] :
      ( ~ class_Rings_Ocomm__semiring__1(X3788)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3788),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3788),X3787),X3786)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3788),X3785),X3784)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3788),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3788),X3787),X3785)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3788),X3786),X3784)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J])]) ).

fof(i_0_1797,plain,
    ! [X3341,X3342,X3343,X3344,X3345] :
      ( ~ class_Rings_Ocomm__semiring__1(X3345)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3345),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3345),X3344),X3343)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3345),X3342),X3341)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3345),X3344),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3345),X3343),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3345),X3342),X3341))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J])]) ).

cnf(i_0_1798,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X1)),
    inference(split_conjunct,[status(thm)],[i_0_1341]) ).

fof(i_0_1799,plain,
    ! [X4351,X4352] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4352)),X4351)))
        | X4352 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | X4351 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X4352 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4352)),X4351))) )
      & ( X4351 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4352)),X4351))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__zpower__abs__iff])])]) ).

fof(i_0_1800,plain,
    ! [X3998] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3998))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3998)),esk20_0))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Re_Obounded])]) ).

fof(i_0_1801,plain,
    ! [X3966] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk15_0))
      & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3966))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3966)),esk15_0))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Re_Ononneg__bounded])])]) ).

fof(i_0_1802,plain,
    ! [X3962] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk13_0))
      & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3962))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3962)),esk13_0))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Re_Opos__bounded])])]) ).

fof(i_0_1803,plain,
    ! [X3996] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X3996))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3996)),esk19_0))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Im_Obounded])]) ).

fof(i_0_1804,plain,
    ! [X3964] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk14_0))
      & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X3964))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3964)),esk14_0))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Im_Ononneg__bounded])])]) ).

fof(i_0_1805,plain,
    ! [X3960] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk12_0))
      & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X3960))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3960)),esk12_0))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Im_Opos__bounded])])]) ).

cnf(i_0_1806,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1342]) ).

fof(i_0_1807,plain,
    ! [X4959,X4960,X4961,X4962,X4963,X4964,X4965] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4960),X4959))
        | hBOOL(hAPP(X4961,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | ~ hBOOL(hAPP(X4961,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4960,X4959))) )
      & ( X4960 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4959),X4962)
        | hBOOL(hAPP(X4961,X4962))
        | ~ hBOOL(hAPP(X4961,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4960,X4959))) )
      & ( X4964 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4963),esk65_3(X4963,X4964,X4965))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4964),X4963))
        | hBOOL(hAPP(X4965,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4964,X4963))) )
      & ( ~ hBOOL(hAPP(X4965,esk65_3(X4963,X4964,X4965)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4964),X4963))
        | hBOOL(hAPP(X4965,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4964,X4963))) )
      & ( X4964 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4963),esk65_3(X4963,X4964,X4965))
        | ~ hBOOL(hAPP(X4965,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X4965,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4964,X4963))) )
      & ( ~ hBOOL(hAPP(X4965,esk65_3(X4963,X4964,X4965)))
        | ~ hBOOL(hAPP(X4965,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X4965,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4964,X4963))) ) ),
    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_1808,plain,
    ! [X4951,X4952,X4953,X4954,X4955,X4956,X4957] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4952),X4951))
        | hBOOL(hAPP(X4953,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | ~ hBOOL(hAPP(X4953,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4952,X4951))) )
      & ( X4952 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4951),X4954)
        | hBOOL(hAPP(X4953,X4954))
        | ~ hBOOL(hAPP(X4953,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4952,X4951))) )
      & ( X4956 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4955),esk64_3(X4955,X4956,X4957))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4956),X4955))
        | hBOOL(hAPP(X4957,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4956,X4955))) )
      & ( ~ hBOOL(hAPP(X4957,esk64_3(X4955,X4956,X4957)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4956),X4955))
        | hBOOL(hAPP(X4957,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4956,X4955))) )
      & ( X4956 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4955),esk64_3(X4955,X4956,X4957))
        | ~ hBOOL(hAPP(X4957,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X4957,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4956,X4955))) )
      & ( ~ hBOOL(hAPP(X4957,esk64_3(X4955,X4956,X4957)))
        | ~ hBOOL(hAPP(X4957,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | hBOOL(hAPP(X4957,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4956,X4955))) ) ),
    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_1343])])])])])]) ).

fof(i_0_1809,plain,
    ! [X3628,X3629,X3630] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,X3629),c_Groups_Ozero__class_Ozero(X3630)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),X3629))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3628)))
        | ~ class_Rings_Olinordered__ring__strict(X3630) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,X3628),c_Groups_Ozero__class_Ozero(X3630)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),X3629))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3628)))
        | ~ class_Rings_Olinordered__ring__strict(X3630) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,X3629),c_Groups_Ozero__class_Ozero(X3630)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),X3628))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3628)))
        | ~ class_Rings_Olinordered__ring__strict(X3630) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,X3628),c_Groups_Ozero__class_Ozero(X3630)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),X3628))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3628)))
        | ~ class_Rings_Olinordered__ring__strict(X3630) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),X3629))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),X3628))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3628)))
        | ~ class_Rings_Olinordered__ring__strict(X3630) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,X3629),c_Groups_Ozero__class_Ozero(X3630)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,X3628),c_Groups_Ozero__class_Ozero(X3630)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3630,c_Groups_Ozero__class_Ozero(X3630)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3628)))
        | ~ class_Rings_Olinordered__ring__strict(X3630) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__mult__iff])])]) ).

fof(i_0_1810,plain,
    ! [X5169,X5170] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5169),X5170))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5170,X5169)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5170)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5169))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5170,X5169)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5170)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5169),X5170))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5169))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5170,X5169)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5170)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonneg1__imp__zdiv__pos__iff])])]) ).

fof(i_0_1811,plain,
    ! [X5173,X5174] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5173,X5174)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5173))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5174)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5173))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5173,X5174)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5174)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__imp__zdiv__nonneg__iff])])]) ).

fof(i_0_1812,plain,
    ! [X3250,X3251] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3251),X3250)),X3251)),
    inference(variable_rename,[status(thm)],[i_0_1344]) ).

fof(i_0_1813,plain,
    ! [X3252,X3253] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3253),X3252)),X3252)),
    inference(variable_rename,[status(thm)],[i_0_1345]) ).

cnf(i_0_1814,plain,
    hBOOL(hAPP(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_1346]) ).

fof(i_0_1815,plain,
    ! [X5171,X5172] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5171,X5172)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5172),X5171))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5172)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5172),X5171))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5171,X5172)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5172)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__imp__zdiv__pos__iff])])]) ).

fof(i_0_1816,plain,
    ! [X5160,X5161] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5160,X5161)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5160),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5161),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5160),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5160,X5161)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5161),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__imp__zdiv__nonneg__iff])])]) ).

fof(i_0_1817,plain,
    ! [X3267,X3268,X3269,X3270] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3269,X3270),X3268),X3267))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X3269,X3270),X3268),X3267))
        | ~ class_Orderings_Oord(X3270) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3269,X3270),X3267),X3268))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X3269,X3270),X3268),X3267))
        | ~ class_Orderings_Oord(X3270) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3269,X3270),X3268),X3267))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3269,X3270),X3267),X3268))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X3269,X3270),X3268),X3267))
        | ~ class_Orderings_Oord(X3270) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1347])])]) ).

fof(i_0_1818,plain,
    ! [X3692,X3693,X3694] :
      ( ~ class_Rings_Olinordered__semidom(X3694)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3694,c_Groups_Oone__class_Oone(X3694)),X3693))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3694,c_Groups_Oone__class_Oone(X3694)),X3692))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3694,c_Groups_Oone__class_Oone(X3694)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3694),X3693),X3692))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__1__mult])]) ).

fof(i_0_1819,plain,
    ! [X3675,X3676,X3677] :
      ( ~ class_Rings_Olinordered__semiring__strict(X3677)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3677,c_Groups_Ozero__class_Ozero(X3677)),X3676))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3677,c_Groups_Ozero__class_Ozero(X3677)),X3675))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3677,c_Groups_Ozero__class_Ozero(X3677)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3677),X3676),X3675))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__pos])]) ).

fof(i_0_1820,plain,
    ! [X2972,X2973,X2974] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2974)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2974,c_Groups_Ozero__class_Ozero(X2974)),X2973))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2974,c_Groups_Ozero__class_Ozero(X2974)),X2972))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2974,c_Groups_Ozero__class_Ozero(X2974)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2974),X2973),X2972))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pos__pos])]) ).

fof(i_0_1821,plain,
    ! [X2788,X2789,X2790] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2790)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2790,c_Groups_Ozero__class_Ozero(X2790)),X2789))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2790,c_Groups_Ozero__class_Ozero(X2790)),X2788))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2790,c_Groups_Ozero__class_Ozero(X2790)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2790),X2789),X2788))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__pos])]) ).

fof(i_0_1822,plain,
    ! [X2785,X2786,X2787] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2787)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2787,c_Groups_Ozero__class_Ozero(X2787)),X2786))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2787,c_Groups_Ozero__class_Ozero(X2787)),X2785))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2787,c_Groups_Ozero__class_Ozero(X2787)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2787),X2786),X2785))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pos__nonneg])]) ).

fof(i_0_1823,plain,
    ! [X3577,X3578,X3579] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3579,c_Groups_Ozero__class_Ozero(X3579)),X3578))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3579,c_Groups_Ozero__class_Ozero(X3579)),X3577))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3579,c_Groups_Ozero__class_Ozero(X3579)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3579),X3578),X3577)))
        | ~ class_Rings_Oordered__ring(X3579) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3579,X3578),c_Groups_Ozero__class_Ozero(X3579)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3579,X3577),c_Groups_Ozero__class_Ozero(X3579)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3579,c_Groups_Ozero__class_Ozero(X3579)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3579),X3578),X3577)))
        | ~ class_Rings_Oordered__ring(X3579) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mult__pos__le])])]) ).

fof(i_0_1824,plain,
    ! [X3622,X3623,X3624] :
      ( ~ class_Rings_Oordered__cancel__semiring(X3624)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3624,c_Groups_Ozero__class_Ozero(X3624)),X3623))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3624,c_Groups_Ozero__class_Ozero(X3624)),X3622))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3624,c_Groups_Ozero__class_Ozero(X3624)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3624),X3623),X3622))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonneg])]) ).

fof(i_0_1825,plain,
    ! [X2958,X2959,X2960] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2960)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2960,c_Groups_Ozero__class_Ozero(X2960)),X2959))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2960,c_Groups_Ozero__class_Ozero(X2960)),X2958))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2960,c_Groups_Ozero__class_Ozero(X2960)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2960),X2959),X2958))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__nonneg])]) ).

fof(i_0_1826,plain,
    ! [X4473,X4474,X4475,X4476] :
      ( ~ class_Rings_Olinordered__semidom(X4476)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4476),X4475),X4474) != hAPP(hAPP(c_Power_Opower__class_Opower(X4476),X4473),X4474)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4476,c_Groups_Ozero__class_Ozero(X4476)),X4475))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4476,c_Groups_Ozero__class_Ozero(X4476)),X4473))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4474))
      | X4475 = X4473 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__imp__eq__base])]) ).

fof(i_0_1827,plain,
    ! [X5395,X5396,X5397,X5398] :
      ( ~ class_Fields_Ofield(X5398)
      | X5397 = c_Groups_Ozero__class_Ozero(X5398)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5396),X5395))
      | hAPP(hAPP(c_Power_Opower__class_Opower(X5398),X5397),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5395,X5396)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5398),hAPP(hAPP(c_Power_Opower__class_Opower(X5398),X5397),X5395)),hAPP(hAPP(c_Power_Opower__class_Opower(X5398),X5397),X5396)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__diff])]) ).

fof(i_0_1828,plain,
    ! [X5101,X5102,X5103,X5104,X5105] :
      ( ~ class_Groups_Oab__group__add(X5105)
      | c_Groups_Ominus__class_Ominus(X5105,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5105),X5104),X5103),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5105),X5102),X5101)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5105),c_Groups_Ominus__class_Ominus(X5105,X5104,X5102)),c_Groups_Ominus__class_Ominus(X5105,X5103,X5101)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Deriv_Oadd__diff__add])]) ).

cnf(i_0_1829,plain,
    c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2)) = hAPP(c_Complex_ORe,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X2)),X1)),
    inference(split_conjunct,[status(thm)],[i_0_1348]) ).

cnf(i_0_1830,plain,
    c_Transcendental_Osin(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2)) = hAPP(c_Complex_OIm,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X2)),X1)),
    inference(split_conjunct,[status(thm)],[i_0_1349]) ).

cnf(i_0_1831,plain,
    ( c_Nat_OSuc(X1) = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1350]) ).

fof(i_0_1832,plain,
    ! [X5324,X5325,X5326,X5327] :
      ( ~ class_Fields_Ofield(X5327)
      | X5326 = c_Groups_Ozero__class_Ozero(X5327)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X5327),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5327),X5325),X5326)),X5324) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5327),hAPP(hAPP(c_Power_Opower__class_Opower(X5327),X5325),X5324)),hAPP(hAPP(c_Power_Opower__class_Opower(X5327),X5326),X5324)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__power__divide])]) ).

fof(i_0_1833,plain,
    ! [X5026,X5027] :
      ( ( X5027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5027),X5026) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X5027 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5027),X5026) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5026),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5027,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X5026)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__if])]) ).

fof(i_0_1834,plain,
    ! [X4331,X4332,X4333] :
      ( ~ class_Rings_Olinordered__semidom(X4333)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4333,c_Groups_Oone__class_Oone(X4333)),X4332))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4331))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4333,c_Groups_Oone__class_Oone(X4333)),hAPP(hAPP(c_Power_Opower__class_Opower(X4333),X4332),X4331))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__less__power])]) ).

cnf(i_0_1835,plain,
    ( hBOOL(hAPP(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_1309]) ).

fof(i_0_1836,plain,
    ! [X3419,X3420,X3421,X3422] :
      ( ~ class_Rings_Ocomm__semiring__1(X3422)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3422),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3422),X3421),X3420)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3422),X3419),X3420)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3422),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3422),X3421),X3419)),X3420) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J])]) ).

fof(i_0_1837,plain,
    ! [X5311,X5312,X5313,X5314] :
      ( ~ class_Rings_Odivision__ring(X5314)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5314),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5314),X5313),X5312)),X5311) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5314),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5314),X5313),X5311)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5314),X5312),X5311)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__divide__distrib])]) ).

fof(i_0_1838,plain,
    ! [X5307,X5308,X5309,X5310] :
      ( ~ class_RealVector_Oreal__normed__field(X5310)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5310),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5310),X5309),X5308)),X5307) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5310),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5310),X5309),X5307)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5310),X5308),X5307)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Oadd])]) ).

fof(i_0_1839,plain,
    ! [X5368,X5369,X5370,X5371] :
      ( ~ class_Fields_Ofield__inverse__zero(X5371)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X5371),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5371),X5370),X5369)),X5368) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5371),hAPP(hAPP(c_Power_Opower__class_Opower(X5371),X5370),X5368)),hAPP(hAPP(c_Power_Opower__class_Opower(X5371),X5369),X5368)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__divide])]) ).

fof(i_0_1840,plain,
    ! [X4369,X4370,X4371,X4372] :
      ( ~ class_Groups_Ocomm__monoid__mult(X4372)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4372),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4372),X4371),X4370)),X4369) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4372),hAPP(hAPP(c_Power_Opower__class_Opower(X4372),X4371),X4369)),hAPP(hAPP(c_Power_Opower__class_Opower(X4372),X4370),X4369)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mult__distrib])]) ).

fof(i_0_1841,plain,
    ! [X4163,X4164,X4165,X4166] :
      ( ~ class_Rings_Ocomm__semiring__1(X4166)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4166),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4166),X4165),X4164)),X4163) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4166),hAPP(hAPP(c_Power_Opower__class_Opower(X4166),X4165),X4163)),hAPP(hAPP(c_Power_Opower__class_Opower(X4166),X4164),X4163)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J])]) ).

fof(i_0_1842,plain,
    ! [X3510,X3511,X3512,X3513] :
      ( ~ class_Rings_Ocomm__semiring(X3513)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3513),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3513),X3512),X3511)),X3510) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3513),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3513),X3512),X3510)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3513),X3511),X3510)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__class_Odistrib])]) ).

fof(i_0_1843,plain,
    ! [X3518,X3519,X3520,X3521] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3521)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3521),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3521),X3520),X3519)),X3518) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3521),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3521),X3520),X3518)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3521),X3519),X3518)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oadd__left])]) ).

fof(i_0_1844,plain,
    ! [X3514,X3515,X3516,X3517] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3517)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3517),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3517),X3516),X3515)),X3514) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3517),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3517),X3516),X3514)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3517),X3515),X3514)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Oadd])]) ).

fof(i_0_1845,plain,
    ! [X3423,X3424,X3425,X3426] :
      ( ~ class_Rings_Ocomm__semiring__1(X3426)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3426),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3426),X3425),X3424)),X3423) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3426),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3426),X3425),X3423)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3426),X3424),X3423)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J])]) ).

fof(i_0_1846,plain,
    ! [X3406] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3406),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3406),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3406),X3406)))),
    inference(variable_rename,[status(thm)],[fact_le__cube]) ).

fof(i_0_1847,plain,
    ! [X3653,X3654,X3655] :
      ( ~ class_Rings_Olinordered__ring__strict(X3655)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3655,X3654),c_Groups_Ozero__class_Ozero(X3655)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3655,X3653),c_Groups_Ozero__class_Ozero(X3655)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3655,c_Groups_Ozero__class_Ozero(X3655)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3655),X3654),X3653))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__neg__neg])]) ).

fof(i_0_1848,plain,
    ! [X3610,X3611,X3612] :
      ( ~ class_Rings_Oordered__ring(X3612)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3612,X3611),c_Groups_Ozero__class_Ozero(X3612)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3612,X3610),c_Groups_Ozero__class_Ozero(X3612)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3612,c_Groups_Ozero__class_Ozero(X3612)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3612),X3611),X3610))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonpos__nonpos])]) ).

fof(i_0_1849,plain,
    ! [X4823,X4824,X4825] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4825),X4824))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4825,X4823)),X4824)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__diff__less])]) ).

fof(i_0_1850,plain,
    ! [X5084,X5085] : hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X5085),X5084)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5085)),hAPP(c_Complex_ORe,X5084)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5085)),hAPP(c_Complex_OIm,X5084))),
    inference(variable_rename,[status(thm)],[fact_complex__Re__mult]) ).

cnf(i_0_1851,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(X1,X2)),X1))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),c_Nat_OSuc(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1351]) ).

fof(i_0_1852,plain,
    ! [X2977,X2978] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2978,c_Groups_Ozero__class_Ozero(X2978)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2978),X2977),X2977)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2978,c_Groups_Ozero__class_Ozero(X2978)),X2977))
        | ~ class_Groups_Olinordered__ab__group__add(X2978) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2978,c_Groups_Ozero__class_Ozero(X2978)),X2977))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2978,c_Groups_Ozero__class_Ozero(X2978)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2978),X2977),X2977)))
        | ~ class_Groups_Olinordered__ab__group__add(X2978) ) ),
    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_1853,plain,
    ! [X2963,X2964] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2964,c_Groups_Ozero__class_Ozero(X2964)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2964),X2963),X2963)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2964,c_Groups_Ozero__class_Ozero(X2964)),X2963))
        | ~ class_Groups_Olinordered__ab__group__add(X2964) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2964,c_Groups_Ozero__class_Ozero(X2964)),X2963))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2964,c_Groups_Ozero__class_Ozero(X2964)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2964),X2963),X2963)))
        | ~ class_Groups_Olinordered__ab__group__add(X2964) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__double__add__iff__zero__le__single__add])])]) ).

cnf(i_0_1854,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_1352]) ).

fof(i_0_1855,plain,
    ! [X3818,X3819] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3819),X3818)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3819))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3818)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3819))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3819),X3818))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3818))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3819),X3818))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__gr__0])])]) ).

fof(i_0_1856,plain,
    ! [X5372,X5373] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5373),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5372))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5373),X5372))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5373))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5372),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5373),X5372))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5373))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5373),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5373),X5372))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5372),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5373),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5373),X5372))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5373))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5372))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5373),X5372))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5372),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5372))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5373),X5372))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__0__le__divide__iff])])]) ).

fof(i_0_1857,plain,
    ! [X2795,X2796,X2797,X2798] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2798)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2798,c_Groups_Ozero__class_Ozero(X2798)),X2797))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2798,X2796),X2795))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2798,X2796),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2798),X2797),X2795))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__increasing2])]) ).

fof(i_0_1858,plain,
    ! [X2791,X2792,X2793,X2794] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2794)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2794,c_Groups_Ozero__class_Ozero(X2794)),X2793))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2794,X2792),X2791))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2794,X2792),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2794),X2793),X2791))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__increasing])]) ).

fof(i_0_1859,plain,
    ! [X2968,X2969,X2970,X2971] :
      ( ~ class_Rings_Olinordered__semidom(X2971)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2971,c_Groups_Ozero__class_Ozero(X2971)),X2970))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2971,X2969),X2968))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2971,X2969),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2971),X2970),X2968))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__add__strict])]) ).

fof(i_0_1860,plain,
    ! [X2951,X2952,X2953,X2954] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2954)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2954,c_Groups_Ozero__class_Ozero(X2954)),X2953))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2954,X2952),X2951))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2954,X2952),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2954),X2953),X2951))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__increasing])]) ).

fof(i_0_1861,plain,
    ! [X2947,X2948,X2949,X2950] :
      ( ~ class_Groups_Oordered__comm__monoid__add(X2950)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2950,c_Groups_Ozero__class_Ozero(X2950)),X2949))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2950,X2948),X2947))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2950,X2948),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2950),X2947),X2949))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__increasing2])]) ).

fof(i_0_1862,plain,
    ! [X3772,X3773,X3774] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3774,c_Groups_Ozero__class_Ozero(X3774)),X3772))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3774,c_Groups_Ozero__class_Ozero(X3774)),X3773))
        | c_Groups_Oabs__class_Oabs(X3774,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3774),X3773),X3772)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3774),c_Groups_Oabs__class_Oabs(X3774,X3773)),c_Groups_Oabs__class_Oabs(X3774,X3772))
        | ~ class_Rings_Oordered__ring__abs(X3774) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3774,X3772),c_Groups_Ozero__class_Ozero(X3774)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3774,c_Groups_Ozero__class_Ozero(X3774)),X3773))
        | c_Groups_Oabs__class_Oabs(X3774,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3774),X3773),X3772)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3774),c_Groups_Oabs__class_Oabs(X3774,X3773)),c_Groups_Oabs__class_Oabs(X3774,X3772))
        | ~ class_Rings_Oordered__ring__abs(X3774) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3774,c_Groups_Ozero__class_Ozero(X3774)),X3772))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3774,X3773),c_Groups_Ozero__class_Ozero(X3774)))
        | c_Groups_Oabs__class_Oabs(X3774,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3774),X3773),X3772)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3774),c_Groups_Oabs__class_Oabs(X3774,X3773)),c_Groups_Oabs__class_Oabs(X3774,X3772))
        | ~ class_Rings_Oordered__ring__abs(X3774) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3774,X3772),c_Groups_Ozero__class_Ozero(X3774)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3774,X3773),c_Groups_Ozero__class_Ozero(X3774)))
        | c_Groups_Oabs__class_Oabs(X3774,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3774),X3773),X3772)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3774),c_Groups_Oabs__class_Oabs(X3774,X3773)),c_Groups_Oabs__class_Oabs(X3774,X3772))
        | ~ class_Rings_Oordered__ring__abs(X3774) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__eq__mult])])]) ).

fof(i_0_1863,plain,
    ! [X5081] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5081,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X5081)))),
    inference(variable_rename,[status(thm)],[fact_real__natfloor__gt__diff__one]) ).

fof(i_0_1864,plain,
    ! [X3925,X3926,X3927] :
      ( ( X3926 = c_Groups_Ozero__class_Ozero(X3927)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3927),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3927),X3926),X3926)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3927),X3925),X3925)) != c_Groups_Ozero__class_Ozero(X3927)
        | ~ class_Rings_Olinordered__ring__strict(X3927) )
      & ( X3925 = c_Groups_Ozero__class_Ozero(X3927)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3927),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3927),X3926),X3926)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3927),X3925),X3925)) != c_Groups_Ozero__class_Ozero(X3927)
        | ~ class_Rings_Olinordered__ring__strict(X3927) )
      & ( X3926 != c_Groups_Ozero__class_Ozero(X3927)
        | X3925 != c_Groups_Ozero__class_Ozero(X3927)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3927),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3927),X3926),X3926)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3927),X3925),X3925)) = c_Groups_Ozero__class_Ozero(X3927)
        | ~ class_Rings_Olinordered__ring__strict(X3927) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__squares__eq__zero__iff])])]) ).

fof(i_0_1865,plain,
    ! [X4515,X4516] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4516),X4515))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4516),c_Groups_Oone__class_Oone(tc_Int_Oint))),X4515)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__imp__add1__zle])]) ).

cnf(i_0_1866,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1353]) ).

cnf(i_0_1867,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1332]) ).

cnf(i_0_1868,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1333]) ).

fof(i_0_1869,plain,
    ! [X4545,X4546,X4547] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4547))
      | X4547 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4546),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4547),X4545))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4546))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4545),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_self__quotient__aux2])]) ).

fof(i_0_1870,plain,
    ! [X5132,X5133] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5133))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5132))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5133,X5132))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Divides_Otransfer__nat__int__function__closures_I1_J])]) ).

fof(i_0_1871,plain,
    ! [X4931,X4932] :
      ( ~ class_Rings_Oring__1(X4932)
      | c_Groups_Ominus__class_Ominus(X4932,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4932),X4931),X4931),c_Groups_Oone__class_Oone(X4932)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4932),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4932),X4931),c_Groups_Oone__class_Oone(X4932))),c_Groups_Ominus__class_Ominus(X4932,X4931,c_Groups_Oone__class_Oone(X4932))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__squared__diff__one__factored])]) ).

fof(i_0_1872,plain,
    ! [X4548,X4549,X4550] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4550))
      | X4550 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4549),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4550),X4548))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4549),X4550))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4548)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_self__quotient__aux1])]) ).

fof(i_0_1873,plain,
    ! [X4731,X4732,X4733] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4733),X4732))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4733),X4731))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4732,X4733),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4731,X4733)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4732,X4731) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat_Odiff__diff__eq])]) ).

fof(i_0_1874,plain,
    ! [X4079] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4079),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X4079))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(variable_rename,[status(thm)],[fact_real__natfloor__add__one__gt]) ).

cnf(i_0_1875,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 = c_Nat_OSuc(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1354]) ).

cnf(i_0_1876,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 = c_Nat_OSuc(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1355]) ).

fof(i_0_1877,plain,
    ! [X3473,X3474] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3474))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3474),X3473))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3473))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3474),X3473))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3474))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3473))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3474),X3473))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__0__less__mult__iff])])]) ).

fof(i_0_1878,plain,
    ! [X3703,X3704] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3704))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3703))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3704),X3703))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__order])]) ).

fof(i_0_1879,plain,
    ! [X4600,X4601] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4601))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4600))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4601),X4600))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J])]) ).

fof(i_0_1880,plain,
    ! [X4602,X4603] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4603))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4602))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4603),X4602))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J])]) ).

fof(i_0_1881,plain,
    ! [X3559,X3560,X3561] :
      ( ~ class_Rings_Ocomm__semiring__1(X3561)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3561),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3561),X3560),X3559)),X3559) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3561),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3561),X3560),c_Groups_Oone__class_Oone(X3561))),X3559) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J])]) ).

cnf(i_0_1882,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1356]) ).

fof(i_0_1883,plain,
    ! [X4493,X4494,X4495] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4495),X4494)),X4493) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4495),X4493)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4494),X4493)),
    inference(variable_rename,[status(thm)],[fact_zadd__zmult__distrib]) ).

fof(i_0_1884,plain,
    ! [X3876,X3877,X3878] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3878),X3877)),X3876) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3878),X3876)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3877),X3876)),
    inference(variable_rename,[status(thm)],[fact_add__mult__distrib]) ).

fof(i_0_1885,plain,
    ! [X3550,X3551,X3552] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3552),X3551)),X3550) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3552),X3550)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3551),X3550)),
    inference(variable_rename,[status(thm)],[fact_real__add__mult__distrib]) ).

cnf(i_0_1886,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1357]) ).

fof(i_0_1887,plain,
    ! [X4905,X4906] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4906,X4905)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4905),X4906)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4905),X4906))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4906,X4905))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__diff])]) ).

fof(i_0_1888,plain,
    ! [X5063,X5064] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5064),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5063,c_Groups_Oone__class_Oone(tc_Int_Oint))))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5064),X5063)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5064),X5063))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5064),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5063,c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__diff1__eq])]) ).

fof(i_0_1889,plain,
    ! [X3082,X3083,X3084,X3085,X3086] :
      ( ~ class_Orderings_Oord(X3086)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3085,X3086),X3084),X3083))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3086,hAPP(X3084,X3082)),hAPP(X3083,X3082))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__funE])]) ).

fof(i_0_1890,plain,
    ! [X3044,X3045,X3046,X3047,X3048] :
      ( ~ class_Orderings_Oord(X3048)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3047,X3048),X3046),X3045))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3048,hAPP(X3046,X3044)),hAPP(X3045,X3044))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__funD])]) ).

cnf(i_0_1891,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X2)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1327]) ).

fof(i_0_1892,plain,
    ! [X5177,X5178,X5179,X5180] :
      ( ~ class_Divides_Osemiring__div(X5180)
      | X5179 = c_Groups_Ozero__class_Ozero(X5180)
      | c_Divides_Odiv__class_Odiv(X5180,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5180),X5178),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5180),X5179),X5177)),X5179) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5180),X5177),c_Divides_Odiv__class_Odiv(X5180,X5178,X5179)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self2])]) ).

fof(i_0_1893,plain,
    ! [X5181,X5182,X5183,X5184] :
      ( ~ class_Divides_Osemiring__div(X5184)
      | X5183 = c_Groups_Ozero__class_Ozero(X5184)
      | c_Divides_Odiv__class_Odiv(X5184,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5184),X5182),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5184),X5181),X5183)),X5183) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5184),X5181),c_Divides_Odiv__class_Odiv(X5184,X5182,X5183)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1])]) ).

fof(i_0_1894,plain,
    ! [X5380,X5381,X5382,X5383] :
      ( ~ class_Rings_Odivision__ring(X5383)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5383),c_Groups_Ominus__class_Ominus(X5383,X5382,X5381)),X5380) = c_Groups_Ominus__class_Ominus(X5383,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5383),X5382),X5380),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5383),X5381),X5380)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__divide__distrib])]) ).

fof(i_0_1895,plain,
    ! [X5376,X5377,X5378,X5379] :
      ( ~ class_RealVector_Oreal__normed__field(X5379)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5379),c_Groups_Ominus__class_Ominus(X5379,X5378,X5377)),X5376) = c_Groups_Ominus__class_Ominus(X5379,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5379),X5378),X5376),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5379),X5377),X5376)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Odiff])]) ).

fof(i_0_1896,plain,
    ! [X4839,X4840,X4841,X4842] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4842)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4842),c_Groups_Ominus__class_Ominus(X4842,X4841,X4840)),X4839) = c_Groups_Ominus__class_Ominus(X4842,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4842),X4841),X4839),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4842),X4840),X4839)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Odiff__left])]) ).

fof(i_0_1897,plain,
    ! [X4835,X4836,X4837,X4838] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4838)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4838),c_Groups_Ominus__class_Ominus(X4838,X4837,X4836)),X4835) = c_Groups_Ominus__class_Ominus(X4838,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4838),X4837),X4835),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4838),X4836),X4835)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Odiff])]) ).

fof(i_0_1898,plain,
    ! [X4648,X4649] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4649)),c_Transcendental_Oln(X4648)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4649),X4648))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4648))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4649)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4649),X4648))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4649)),c_Transcendental_Oln(X4648)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4648))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4649)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__less__cancel__iff])])]) ).

fof(i_0_1899,plain,
    ! [X4659,X4660] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X4660)),c_Transcendental_Oln(X4659)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4660),X4659))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4659))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4660)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4660),X4659))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X4660)),c_Transcendental_Oln(X4659)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4659))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4660)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__le__cancel__iff])])]) ).

cnf(i_0_1900,plain,
    ( X1 = c_Nat_OSuc(esk45_2(X2,X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1351]) ).

fof(i_0_1901,plain,
    ! [X4441,X4442,X4443] :
      ( ~ class_Rings_Olinordered__idom(X4443)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4443,c_Groups_Ozero__class_Ozero(X4443)),hAPP(hAPP(c_Power_Opower__class_Opower(X4443),c_Groups_Oabs__class_Oabs(X4443,X4442)),X4441))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__power__abs])]) ).

cnf(i_0_1902,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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1358]) ).

fof(i_0_1903,plain,
    ! [X3526,X3527,X3528,X3529] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3529)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3529),X3528),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3529),X3527),X3526)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3529),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3529),X3528),X3527)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3529),X3528),X3526)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oadd__right])]) ).

fof(i_0_1904,plain,
    ! [X3522,X3523,X3524,X3525] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3525)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3525),X3524),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3525),X3523),X3522)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3525),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3525),X3524),X3523)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3525),X3524),X3522)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Oadd])]) ).

fof(i_0_1905,plain,
    ! [X3432,X3433,X3434,X3435] :
      ( ~ class_Rings_Ocomm__semiring__1(X3435)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3435),X3434),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3435),X3433),X3432)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3435),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3435),X3434),X3433)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3435),X3434),X3432)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J])]) ).

fof(i_0_1906,plain,
    ! [X3337,X3338,X3339,X3340] :
      ( ~ class_Rings_Ocomm__semiring__1(X3340)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3340),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3340),X3339),X3338)),X3337) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3340),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3340),X3339),X3337)),X3338) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J])]) ).

fof(i_0_1907,plain,
    ! [X3789,X3790,X3791,X3792] :
      ( ~ class_Rings_Ocomm__semiring__1(X3792)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3792),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3792),X3791),X3790)),X3789) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3792),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3792),X3791),X3789)),X3790) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J])]) ).

cnf(i_0_1908,plain,
    hBOOL(hAPP(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_1359]) ).

fof(i_0_1909,plain,
    ! [X4879,X4880,X4881] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4881),X4880))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4880),X4879),X4881) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4880,X4881)),X4879) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__assoc2])]) ).

fof(i_0_1910,plain,
    ! [X4876,X4877,X4878] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4878),X4877))
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4877,X4878)),X4876) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4877),X4876),X4878) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__assoc2])]) ).

fof(i_0_1911,plain,
    ! [X5274,X5275] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X5275),X5274) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5275)),hAPP(c_Complex_ORe,X5274)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5275)),hAPP(c_Complex_OIm,X5274))),
    inference(variable_rename,[status(thm)],[fact_complex__add__def]) ).

fof(i_0_1912,plain,
    ! [X4005,X4006,X4008] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk23_2(X4005,X4006)),X4005))
        | ~ hBOOL(hAPP(X4006,X4005))
        | hBOOL(hAPP(X4006,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4008),esk23_2(X4005,X4006)))
        | ~ hBOOL(hAPP(X4006,X4008))
        | ~ hBOOL(hAPP(X4006,X4005))
        | hBOOL(hAPP(X4006,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
      & ( hBOOL(hAPP(X4006,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk23_2(X4005,X4006)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
        | ~ hBOOL(hAPP(X4006,X4005))
        | hBOOL(hAPP(X4006,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1360])])])])]) ).

fof(i_0_1913,plain,
    ! [X4543,X4544] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4544),X4543)))
        | X4543 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4544)) )
      & ( X4543 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4544),X4543))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4544))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4544),X4543))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power__nat__eq])])]) ).

fof(i_0_1914,plain,
    ! [X4356,X4357] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4357),X4356)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4357))
        | X4356 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4357))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4357),X4356))) )
      & ( X4356 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4357),X4356))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__zero__less__power__iff])])]) ).

fof(i_0_1915,plain,
    ! [X4065] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk33_1(X4065)),esk34_1(X4065)))
        | c_SEQ_Oconvergent(tc_RealDef_Oreal,X4065)
        | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X4065) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X4065,esk33_1(X4065))),hAPP(X4065,esk34_1(X4065))))
        | c_SEQ_Oconvergent(tc_RealDef_Oreal,X4065)
        | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X4065) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__mono__convergent])])])]) ).

fof(i_0_1916,plain,
    ! [X4234,X4235,X4236,X4237] :
      ( ~ class_Rings_Ocomm__semiring__1(X4237)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4237),hAPP(hAPP(c_Power_Opower__class_Opower(X4237),X4236),X4235)),hAPP(hAPP(c_Power_Opower__class_Opower(X4237),X4236),X4234)) = hAPP(hAPP(c_Power_Opower__class_Opower(X4237),X4236),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4235),X4234)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J])]) ).

fof(i_0_1917,plain,
    ! [X4417,X4418,X4419,X4420] :
      ( ~ class_Groups_Omonoid__mult(X4420)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4420),X4419),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4418),X4417)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4420),hAPP(hAPP(c_Power_Opower__class_Opower(X4420),X4419),X4418)),hAPP(hAPP(c_Power_Opower__class_Opower(X4420),X4419),X4417)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__add])]) ).

fof(i_0_1918,plain,
    ! [X4609,X4610,X4612] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk56_2(X4609,X4610)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4609))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4610)) )
      & ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk56_2(X4609,X4610)),X4610) = X4609
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4609))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4610)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4612))
        | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4612),X4610) != X4609
        | X4612 = esk56_2(X4609,X4610)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4609))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4610)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__pos__nth__unique])])])])]) ).

fof(i_0_1919,plain,
    ! [X3708,X3709] :
      ( ( X3709 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3709),X3709)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3708),X3708)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X3708 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3709),X3709)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3708),X3708)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X3709 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X3708 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3709),X3709)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3708),X3708)) = 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_1920,plain,
    ! [X3553,X3554,X3555,X3556,X3557,X3558] :
      ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3558)
      | X3557 = c_Groups_Ozero__class_Ozero(X3558)
      | X3556 != X3555
      | X3554 = X3553
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3558),X3556),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3558),X3557),X3554)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3558),X3555),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3558),X3557),X3553)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__scale__eq__noteq])]) ).

fof(i_0_1921,plain,
    ! [X4522,X4523] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4523),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4522),c_Groups_Oone__class_Oone(tc_Int_Oint))))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4523),X4522))
        | X4523 = X4522 )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4523),X4522))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4523),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4522),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
      & ( X4523 != X4522
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4523),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4522),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])])]) ).

cnf(i_0_1922,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1361]) ).

cnf(i_0_1923,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1362]) ).

cnf(i_0_1924,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1363]) ).

cnf(i_0_1925,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1364]) ).

fof(i_0_1926,plain,
    ! [X4524,X4525] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4525),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4524),c_Groups_Oone__class_Oone(tc_Int_Oint))))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4525),X4524)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4525),X4524))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4525),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4524),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__add1__eq__le])]) ).

cnf(i_0_1927,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1365]) ).

fof(i_0_1928,plain,
    ! [X4077,X4078] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4077),c_RComplete_Onatfloor(X4078)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4077)),X4078))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4078)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4077)),X4078))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4077),c_RComplete_Onatfloor(X4078)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4078)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__natfloor__eq])])]) ).

fof(i_0_1929,plain,
    ! [X5211,X5212] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5212,X5211)),X5212)),
    inference(variable_rename,[status(thm)],[fact_div__le__dividend]) ).

fof(i_0_1930,plain,
    ! [X4718,X4719] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4719,X4718)),X4719)),
    inference(variable_rename,[status(thm)],[fact_diff__le__self]) ).

fof(i_0_1931,plain,
    ! [X5053,X5054,X5055] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5055,X5054)),X5053) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5055),X5053),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5054),X5053)),
    inference(variable_rename,[status(thm)],[fact_zdiff__zmult__distrib]) ).

fof(i_0_1932,plain,
    ! [X4832,X4833,X4834] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4834,X4833)),X4832) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4834),X4832),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4833),X4832)),
    inference(variable_rename,[status(thm)],[fact_diff__mult__distrib]) ).

fof(i_0_1933,plain,
    ! [X4394,X4395,X4396] :
      ( ~ class_Rings_Olinordered__semidom(X4396)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4396,c_Groups_Ozero__class_Ozero(X4396)),X4395))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4396,c_Groups_Ozero__class_Ozero(X4396)),hAPP(hAPP(c_Power_Opower__class_Opower(X4396),X4395),X4394))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power])]) ).

fof(i_0_1934,plain,
    ! [X4397,X4398,X4399] :
      ( ~ class_Rings_Olinordered__semidom(X4399)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4399,c_Groups_Oone__class_Oone(X4399)),X4398))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4399,c_Groups_Oone__class_Oone(X4399)),hAPP(hAPP(c_Power_Opower__class_Opower(X4399),X4398),X4397))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__le__power])]) ).

fof(i_0_1935,plain,
    ! [X4387,X4388,X4389] :
      ( ~ class_Rings_Olinordered__semidom(X4389)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4389,c_Groups_Ozero__class_Ozero(X4389)),X4388))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4389,c_Groups_Ozero__class_Ozero(X4389)),hAPP(hAPP(c_Power_Opower__class_Opower(X4389),X4388),X4387))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__power])]) ).

fof(i_0_1936,plain,
    ! [X3917,X3918,X3919,X3920] :
      ( ( ~ c_SEQ_Osubseq(X3917)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3918),X3919))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X3917,X3918)),hAPP(X3917,X3919))) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk10_1(X3920)),esk11_1(X3920)))
        | c_SEQ_Osubseq(X3920) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X3920,esk10_1(X3920))),hAPP(X3920,esk11_1(X3920))))
        | c_SEQ_Osubseq(X3920) ) ),
    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_1937,plain,
    ! [X5328,X5329,X5330] :
      ( ~ class_Fields_Ofield__inverse__zero(X5330)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5330),c_Groups_Oone__class_Oone(X5330)),hAPP(hAPP(c_Power_Opower__class_Opower(X5330),X5329),X5328)) = hAPP(hAPP(c_Power_Opower__class_Opower(X5330),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5330),c_Groups_Oone__class_Oone(X5330)),X5329)),X5328) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one__over])]) ).

fof(i_0_1938,plain,
    ! [X5304,X5305] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5305))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5304))
      | c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5305),c_RealDef_Oreal(tc_Nat_Onat,X5304))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X5305),X5304) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__div__nat])]) ).

fof(i_0_1939,plain,
    ! [X5079,X5080] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X5080)),X5079))
      | c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5079,c_RealDef_Oreal(tc_Nat_Onat,X5080))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X5079),X5080) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__subtract])]) ).

fof(i_0_1940,plain,
    ! [X5082,X5083] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X5083)),X5082))
      | c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5082,c_RealDef_Oreal(tc_Nat_Onat,X5083))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X5082),X5083) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__subtract])]) ).

fof(i_0_1941,plain,
    ! [X4048,X4049,X4051] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk32_2(X4048,X4049)))
        | ~ c_SEQ_OBseq(X4049,X4048)
        | ~ class_RealVector_Oreal__normed__vector(X4049) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4049,hAPP(X4048,X4051))),esk32_2(X4048,X4049)))
        | ~ c_SEQ_OBseq(X4049,X4048)
        | ~ class_RealVector_Oreal__normed__vector(X4049) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_BseqD])])])])]) ).

cnf(i_0_1942,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X1)),X2) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),
    inference(split_conjunct,[status(thm)],[i_0_1366]) ).

cnf(i_0_1943,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X3)))
    | X1 != c_Nat_OSuc(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1351]) ).

cnf(i_0_1944,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(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_1367]) ).

cnf(i_0_1945,plain,
    ( X2 = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk46_2(X2,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1368]) ).

fof(i_0_1946,plain,
    ! [X4342,X4343,X4344] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4344),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4343),X4342)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4344),X4343)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4344),X4342)),
    inference(variable_rename,[status(thm)],[fact_zpower__zadd__distrib]) ).

fof(i_0_1947,plain,
    ! [X4490,X4491,X4492] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4492),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4491),X4490)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4492),X4491)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4492),X4490)),
    inference(variable_rename,[status(thm)],[fact_zadd__zmult__distrib2]) ).

fof(i_0_1948,plain,
    ! [X3870,X3871,X3872] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3872),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3871),X3870)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3872),X3871)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3872),X3870)),
    inference(variable_rename,[status(thm)],[fact_add__mult__distrib2]) ).

fof(i_0_1949,plain,
    ! [X4486,X4487] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4487)),X4486))),
    inference(variable_rename,[status(thm)],[fact_zero__le__zpower__abs]) ).

fof(i_0_1950,plain,
    ! [X3562,X3563,X3564] :
      ( ~ class_Rings_Ocomm__semiring__1(X3564)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3564),X3563),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3564),X3562),X3563)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3564),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3564),X3562),c_Groups_Oone__class_Oone(X3564))),X3563) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J])]) ).

fof(i_0_1951,plain,
    ! [X5188,X5189,X5190] :
      ( ~ class_Divides_Osemiring__div(X5190)
      | X5189 = c_Groups_Ozero__class_Ozero(X5190)
      | c_Divides_Odiv__class_Odiv(X5190,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5190),X5189),X5188),X5189) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5190),c_Divides_Odiv__class_Odiv(X5190,X5188,X5189)),c_Groups_Oone__class_Oone(X5190)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__add__self1])]) ).

fof(i_0_1952,plain,
    ! [X5185,X5186,X5187] :
      ( ~ class_Divides_Osemiring__div(X5187)
      | X5186 = c_Groups_Ozero__class_Ozero(X5187)
      | c_Divides_Odiv__class_Odiv(X5187,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5187),X5185),X5186),X5186) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5187),c_Divides_Odiv__class_Odiv(X5187,X5185,X5186)),c_Groups_Oone__class_Oone(X5187)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__add__self2])]) ).

fof(i_0_1953,plain,
    ! [X5108,X5109,X5110] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5110))
      | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5109,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5108),X5110)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5109,X5108),X5110) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__zmult2__eq])]) ).

cnf(i_0_1954,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | X1 != c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1368]) ).

fof(i_0_1955,plain,
    ! [X5399,X5400] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5400))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5399))
      | c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5400),X5399)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(X5400),c_Transcendental_Oln(X5399)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__div])]) ).

fof(i_0_1956,plain,
    ! [X5033,X5034,X5035] :
      ( ( X5034 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(X5035),X5033),X5034) = c_Groups_Oone__class_Oone(X5035)
        | ~ class_Power_Opower(X5035) )
      & ( X5034 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(X5035),X5033),X5034) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5035),X5033),hAPP(hAPP(c_Power_Opower__class_Opower(X5035),X5033),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5034,c_Groups_Oone__class_Oone(tc_Nat_Onat))))
        | ~ class_Power_Opower(X5035) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__num__eq__if])])]) ).

fof(i_0_1957,plain,
    ! [X2955,X2956,X2957] :
      ( ( X2956 = c_Groups_Ozero__class_Ozero(X2957)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2957),X2956),X2955) != c_Groups_Ozero__class_Ozero(X2957)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2957,c_Groups_Ozero__class_Ozero(X2957)),X2955))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2957,c_Groups_Ozero__class_Ozero(X2957)),X2956))
        | ~ class_Groups_Oordered__comm__monoid__add(X2957) )
      & ( X2955 = c_Groups_Ozero__class_Ozero(X2957)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2957),X2956),X2955) != c_Groups_Ozero__class_Ozero(X2957)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2957,c_Groups_Ozero__class_Ozero(X2957)),X2955))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2957,c_Groups_Ozero__class_Ozero(X2957)),X2956))
        | ~ class_Groups_Oordered__comm__monoid__add(X2957) )
      & ( X2956 != c_Groups_Ozero__class_Ozero(X2957)
        | X2955 != c_Groups_Ozero__class_Ozero(X2957)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2957),X2956),X2955) = c_Groups_Ozero__class_Ozero(X2957)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2957,c_Groups_Ozero__class_Ozero(X2957)),X2955))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2957,c_Groups_Ozero__class_Ozero(X2957)),X2956))
        | ~ class_Groups_Oordered__comm__monoid__add(X2957) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__eq__0__iff])])]) ).

fof(i_0_1958,plain,
    ! [X4670,X4671] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4671))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4670))
      | c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4671),X4670)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X4671)),c_Transcendental_Oln(X4670)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__mult])]) ).

fof(i_0_1959,plain,
    ! [X4517] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4517))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4517))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__0__less])]) ).

fof(i_0_1960,plain,
    ! [X4086,X4087] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4087))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4087),c_RealDef_Oreal(tc_Nat_Onat,X4086)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X4087)),X4086)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__natfloor])]) ).

fof(i_0_1961,plain,
    ! [X4111,X4112] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4112)),X4111))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4112),c_RealDef_Oreal(tc_Nat_Onat,X4111)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4112)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4112),c_RealDef_Oreal(tc_Nat_Onat,X4111)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4112)),X4111))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4112)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__le__eq])])]) ).

cnf(i_0_1962,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Ocos(X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(split_conjunct,[status(thm)],[i_0_1369]) ).

cnf(i_0_1963,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Osin(X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(split_conjunct,[status(thm)],[i_0_1370]) ).

fof(i_0_1964,plain,
    ! [X5191,X5192,X5193] :
      ( ( ~ hBOOL(hAPP(X5193,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5192,X5191)))
        | epred1_3(X5193,X5191,X5192) )
      & ( ~ epred1_3(X5193,X5191,X5192)
        | hBOOL(hAPP(X5193,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5192,X5191))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1371])]) ).

fof(i_0_1965,plain,
    ! [X3931] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3931),X3931)))
        | X3931 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X3931 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3931),X3931))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1372])]) ).

fof(i_0_1966,plain,
    ! [X4847,X4848,X4849,X4850] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4850)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4850),X4849),c_Groups_Ominus__class_Ominus(X4850,X4848,X4847)) = c_Groups_Ominus__class_Ominus(X4850,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4850),X4849),X4848),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4850),X4849),X4847)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Odiff__right])]) ).

fof(i_0_1967,plain,
    ! [X4843,X4844,X4845,X4846] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4846)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4846),X4845),c_Groups_Ominus__class_Ominus(X4846,X4844,X4843)) = c_Groups_Ominus__class_Ominus(X4846,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4846),X4845),X4844),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4846),X4845),X4843)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Odiff])]) ).

fof(i_0_1968,plain,
    ! [X5225,X5226,X5227] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5227))
      | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5227),X5226),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5227),X5225)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5226,X5225) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__div__cancel1])]) ).

fof(i_0_1969,plain,
    ! [X4851,X4852,X4853] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4853),X4852))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4851,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4852,X4853)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4851),X4853),X4852) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__diff__right])]) ).

fof(i_0_1970,plain,
    ! [X4620,X4621] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk57_2(X4620,X4621)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4620))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4621)) )
      & ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk57_2(X4620,X4621)),X4621) = X4620
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4620))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4621)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__pos__nth])])])]) ).

fof(i_0_1971,plain,
    ! [X5095,X5096] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5096))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5095))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X5096,X5095))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J])]) ).

fof(i_0_1972,plain,
    ! [X4373,X4374,X4375] :
      ( ~ class_Groups_Omonoid__mult(X4375)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4375),hAPP(hAPP(c_Power_Opower__class_Opower(X4375),X4374),X4373)),X4374) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4375),X4374),hAPP(hAPP(c_Power_Opower__class_Opower(X4375),X4374),X4373)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__commutes])]) ).

fof(i_0_1973,plain,
    ! [X3389,X3390,X3391,X3392] :
      ( ~ class_Groups_Oab__semigroup__mult(X3392)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3392),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3392),X3391),X3390)),X3389) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3392),X3391),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3392),X3390),X3389)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__semigroup__mult__class_Omult__ac_I1_J])]) ).

fof(i_0_1974,plain,
    ! [X3333,X3334,X3335,X3336] :
      ( ~ class_Rings_Ocomm__semiring__1(X3336)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3336),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3336),X3335),X3334)),X3333) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3336),X3335),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3336),X3334),X3333)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J])]) ).

fof(i_0_1975,plain,
    ! [X3793,X3794,X3795,X3796] :
      ( ~ class_Rings_Ocomm__semiring__1(X3796)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3796),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3796),X3795),X3794)),X3793) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3796),X3795),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3796),X3794),X3793)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J])]) ).

fof(i_0_1976,plain,
    ! [X2839,X2840,X2841,X2842] :
      ( ~ class_Groups_Oab__semigroup__add(X2842)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2842),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2842),X2841),X2840)),X2839) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2842),X2841),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2842),X2840),X2839)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__semigroup__add__class_Oadd__ac_I1_J])]) ).

fof(i_0_1977,plain,
    ! [X5362,X5363,X5364,X5365] :
      ( ~ class_Rings_Odivision__ring(X5365)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5365),X5364),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5365),X5363),X5362)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5365),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5365),X5364),X5363)),X5362) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times__divide__eq__right])]) ).

fof(i_0_1978,plain,
    ! [X3329,X3330,X3331,X3332] :
      ( ~ class_Rings_Ocomm__semiring__1(X3332)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3332),X3331),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3332),X3330),X3329)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3332),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3332),X3331),X3330)),X3329) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J])]) ).

fof(i_0_1979,plain,
    ! [X3797,X3798,X3799,X3800] :
      ( ~ class_Rings_Ocomm__semiring__1(X3800)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3800),X3799),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3800),X3798),X3797)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3800),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3800),X3799),X3798)),X3797) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J])]) ).

fof(i_0_1980,plain,
    ! [X3710,X3711] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3711,c_Groups_Osgn__class_Osgn(X3711,X3710)),c_Groups_Ozero__class_Ozero(X3711)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3711,X3710),c_Groups_Ozero__class_Ozero(X3711)))
        | ~ class_Rings_Olinordered__idom(X3711) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3711,X3710),c_Groups_Ozero__class_Ozero(X3711)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3711,c_Groups_Osgn__class_Osgn(X3711,X3710)),c_Groups_Ozero__class_Ozero(X3711)))
        | ~ class_Rings_Olinordered__idom(X3711) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__less])])]) ).

fof(i_0_1981,plain,
    ! [X4873,X4874,X4875] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4875),X4874))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4873),X4874),X4875) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4873),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4874,X4875)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__assoc])]) ).

fof(i_0_1982,plain,
    ! [X4862,X4863,X4864] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4864),X4863))
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4862),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4863,X4864)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4862),X4863),X4864) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__assoc])]) ).

cnf(i_0_1983,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1373]) ).

cnf(i_0_1984,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1374]) ).

fof(i_0_1985,plain,
    ! [X4082,X4083] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4083)),c_RealDef_Oreal(tc_Nat_Onat,X4082)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4083),X4082)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4083),X4082))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4083)),c_RealDef_Oreal(tc_Nat_Onat,X4082))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__less__iff])]) ).

fof(i_0_1986,plain,
    ! [X4084,X4085] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4085)),c_RealDef_Oreal(tc_Nat_Onat,X4084)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4085),X4084)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4085),X4084))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4085)),c_RealDef_Oreal(tc_Nat_Onat,X4084))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__le__iff])]) ).

fof(i_0_1987,plain,
    ! [X2937,X2938,X2939] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2939)
      | c_Groups_Oabs__class_Oabs(X2939,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2939),c_Groups_Oabs__class_Oabs(X2939,X2938)),c_Groups_Oabs__class_Oabs(X2939,X2937))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2939),c_Groups_Oabs__class_Oabs(X2939,X2938)),c_Groups_Oabs__class_Oabs(X2939,X2937)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__add__abs])]) ).

cnf(i_0_1988,plain,
    ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1375]) ).

cnf(i_0_1989,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1376]) ).

fof(i_0_1990,plain,
    ! [X4728,X4729,X4730] :
      ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4729,X4730) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4728,X4730)
        | X4729 = X4728
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4730),X4728))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4730),X4729)) )
      & ( X4729 != X4728
        | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4729,X4730) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4728,X4730)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4730),X4728))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4730),X4729)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__diff__iff])])]) ).

fof(i_0_1991,plain,
    ! [X4598,X4599] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4599))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4599),X4598))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J])]) ).

fof(i_0_1992,plain,
    ! [X4381,X4382,X4383,X4384] :
      ( ~ class_Groups_Omonoid__mult(X4384)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4384),X4383),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4382),X4381)) = hAPP(hAPP(c_Power_Opower__class_Opower(X4384),hAPP(hAPP(c_Power_Opower__class_Opower(X4384),X4383),X4382)),X4381) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mult])]) ).

fof(i_0_1993,plain,
    ! [X4159,X4160,X4161,X4162] :
      ( ~ class_Rings_Ocomm__semiring__1(X4162)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4162),hAPP(hAPP(c_Power_Opower__class_Opower(X4162),X4161),X4160)),X4159) = hAPP(hAPP(c_Power_Opower__class_Opower(X4162),X4161),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4160),X4159)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J])]) ).

fof(i_0_1994,plain,
    ! [X5028,X5029] :
      ( ( X5029 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X5028),X5029) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
      & ( X5029 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X5028),X5029) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5028),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X5028),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5029,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__if])]) ).

fof(i_0_1995,plain,
    ! [X4533] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4533)),X4533) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(variable_rename,[status(thm)],[fact_odd__nonzero]) ).

fof(i_0_1996,plain,
    ! [X3910] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3910))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3910))),
    inference(variable_rename,[status(thm)],[fact_abs__Re__le__cmod]) ).

fof(i_0_1997,plain,
    ! [X3003] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X3003))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3003))),
    inference(variable_rename,[status(thm)],[fact_abs__Im__le__cmod]) ).

fof(i_0_1998,plain,
    ! [X3775,X3776,X3777] :
      ( ~ class_Rings_Olinordered__idom(X3777)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3777,c_Groups_Ozero__class_Ozero(X3777)),X3776))
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3777),c_Groups_Oabs__class_Oabs(X3777,X3775)),X3776) = c_Groups_Oabs__class_Oabs(X3777,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3777),X3775),X3776)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult__pos])]) ).

cnf(i_0_1999,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | X1 != X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1356]) ).

fof(i_0_2000,plain,
    ! [X2784] :
      ( ~ class_Rings_Olinordered__semidom(X2784)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2784,c_Groups_Ozero__class_Ozero(X2784)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2784),c_Groups_Oone__class_Oone(X2784)),c_Groups_Oone__class_Oone(X2784)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__two])]) ).

fof(i_0_2001,plain,
    ! [X4810,X4811,X4812,X4813,X4814] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4814,X4813),X4812))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4814,X4811),X4810))
        | c_Groups_Ominus__class_Ominus(X4814,X4813,X4812) != c_Groups_Ominus__class_Ominus(X4814,X4811,X4810)
        | ~ class_Groups_Oordered__ab__group__add(X4814) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4814,X4811),X4810))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4814,X4813),X4812))
        | c_Groups_Ominus__class_Ominus(X4814,X4813,X4812) != c_Groups_Ominus__class_Ominus(X4814,X4811,X4810)
        | ~ class_Groups_Oordered__ab__group__add(X4814) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__less])])]) ).

fof(i_0_2002,plain,
    ! [X4707,X4708,X4709,X4710,X4711] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4711,X4710),X4709))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4711,X4708),X4707))
        | c_Groups_Ominus__class_Ominus(X4711,X4710,X4709) != c_Groups_Ominus__class_Ominus(X4711,X4708,X4707)
        | ~ class_Groups_Oordered__ab__group__add(X4711) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4711,X4708),X4707))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4711,X4710),X4709))
        | c_Groups_Ominus__class_Ominus(X4711,X4710,X4709) != c_Groups_Ominus__class_Ominus(X4711,X4708,X4707)
        | ~ class_Groups_Oordered__ab__group__add(X4711) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__less__eq])])]) ).

fof(i_0_2003,plain,
    ! [X3565,X3566] :
      ( ~ class_Rings_Ocomm__semiring__1(X3566)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3566),X3565),X3565) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3566),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3566),c_Groups_Oone__class_Oone(X3566)),c_Groups_Oone__class_Oone(X3566))),X3565) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J])]) ).

fof(i_0_2004,plain,
    ! [X4664] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4664)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4664),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4664)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4664),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4664)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4664)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__less__zero__iff])])]) ).

cnf(i_0_2005,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[i_0_1377]) ).

cnf(i_0_2006,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1361]) ).

cnf(i_0_2007,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1378]) ).

cnf(i_0_2008,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1379]) ).

cnf(i_0_2009,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1365]) ).

cnf(i_0_2010,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1354]) ).

cnf(i_0_2011,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1380]) ).

fof(i_0_2012,plain,
    ! [X4666] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4666)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4666))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4666)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4666))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4666)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4666)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__gt__zero__iff])])]) ).

fof(i_0_2013,plain,
    ! [X4662] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4662)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4662))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4662)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__gt__zero__imp__gt__one])]) ).

fof(i_0_2014,plain,
    ! [X4669] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4669)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4669))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4669)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4669))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4669)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4669)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__ge__zero__iff])])]) ).

fof(i_0_2015,plain,
    ! [X4668] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4668)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4668))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4668)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__ge__zero__imp__ge__one])]) ).

fof(i_0_2016,plain,
    ! [X2782] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2782)))),
    inference(variable_rename,[status(thm)],[fact_abs__add__one__gt__zero]) ).

fof(i_0_2017,plain,
    ! [X4604,X4605,X4606] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(X4606,X4605)),X4604) = c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4606),X4604),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4604)),X4605)),
    inference(variable_rename,[status(thm)],[fact_DeMoivre2]) ).

fof(i_0_2018,plain,
    ! [X5050,X5051,X5052] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5052),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5051,X5050)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5052),X5051),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5052),X5050)),
    inference(variable_rename,[status(thm)],[fact_zdiff__zmult__distrib2]) ).

fof(i_0_2019,plain,
    ! [X4829,X4830,X4831] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4831),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4830,X4829)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4831),X4830),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4831),X4829)),
    inference(variable_rename,[status(thm)],[fact_diff__mult__distrib2]) ).

fof(i_0_2020,plain,
    ! [X2928,X2929,X2930] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2930)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2930,c_Groups_Oabs__class_Oabs(X2930,X2929)),X2928))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2930,X2929),X2928)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__D1])]) ).

cnf(i_0_2021,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X1)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Nat_OSuc(X2)),
    inference(split_conjunct,[status(thm)],[i_0_1381]) ).

fof(i_0_2022,plain,
    ! [X3989,X3990,X3991] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3991),X3990))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3991),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3990),X3989))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I1_J])]) ).

fof(i_0_2023,plain,
    ! [X3277,X3278,X3279] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3279),X3278))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3279),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3278),X3277))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__less__add1])]) ).

fof(i_0_2024,plain,
    ! [X3992,X3993,X3994] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3994),X3993))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3994),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3992),X3993))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I2_J])]) ).

fof(i_0_2025,plain,
    ! [X3280,X3281,X3282] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3282),X3281))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3282),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3280),X3281))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__less__add2])]) ).

fof(i_0_2026,plain,
    ! [X3984,X3985,X3986] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3986),X3985))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3986),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3985),X3984))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I3_J])]) ).

fof(i_0_2027,plain,
    ! [X3283,X3284,X3285] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3285),X3284))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3285),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3284),X3283))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__le__add1])]) ).

fof(i_0_2028,plain,
    ! [X3981,X3982,X3983] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3983),X3982))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3983),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3981),X3982))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I4_J])]) ).

fof(i_0_2029,plain,
    ! [X3286,X3287,X3288] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3288),X3287))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3288),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3286),X3287))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__le__add2])]) ).

fof(i_0_2030,plain,
    ! [X4663] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4663))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4663),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4663)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__less__zero])]) ).

fof(i_0_2031,plain,
    ! [X4868,X4869] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4869),X4868))
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4868,X4869)),X4869) = X4868 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__diff__inverse2])]) ).

cnf(i_0_2032,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),
    inference(split_conjunct,[status(thm)],[i_0_1382]) ).

cnf(i_0_2033,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Nat_OSuc(X2)) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),
    inference(split_conjunct,[status(thm)],[i_0_1383]) ).

fof(i_0_2034,plain,
    ! [X3712,X3713] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3713,c_Groups_Ozero__class_Ozero(X3713)),c_Groups_Osgn__class_Osgn(X3713,X3712)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3713,c_Groups_Ozero__class_Ozero(X3713)),X3712))
        | ~ class_Rings_Olinordered__idom(X3713) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3713,c_Groups_Ozero__class_Ozero(X3713)),X3712))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3713,c_Groups_Ozero__class_Ozero(X3713)),c_Groups_Osgn__class_Osgn(X3713,X3712)))
        | ~ class_Rings_Olinordered__idom(X3713) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__greater])])]) ).

fof(i_0_2035,plain,
    ! [X5366,X5367] : hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5367),X5366)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5367),X5367)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5366),X5367),
    inference(variable_rename,[status(thm)],[fact_real__divide__square__eq]) ).

fof(i_0_2036,plain,
    ! [X4345,X4346,X4347] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4347),X4346)),X4345) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4347),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4346),X4345)),
    inference(variable_rename,[status(thm)],[fact_zpower__zpower]) ).

fof(i_0_2037,plain,
    ! [X4503,X4504,X4505] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4505),X4504)),X4503) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4505),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4504),X4503)),
    inference(variable_rename,[status(thm)],[fact_zmult__assoc]) ).

fof(i_0_2038,plain,
    ! [X3887,X3888,X3889] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3889),X3888)),X3887) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3889),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3888),X3887)),
    inference(variable_rename,[status(thm)],[fact_nat__mult__assoc]) ).

fof(i_0_2039,plain,
    ! [X3890,X3891,X3892] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3892),X3891)),X3890) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3892),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3891),X3890)),
    inference(variable_rename,[status(thm)],[fact_real__mult__assoc]) ).

fof(i_0_2040,plain,
    ! [X4557,X4558,X4559] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4559),X4558)),X4557) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4559),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4558),X4557)),
    inference(variable_rename,[status(thm)],[fact_zadd__assoc]) ).

fof(i_0_2041,plain,
    ! [X3873,X3874,X3875] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3875),X3874)),X3873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3875),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3874),X3873)),
    inference(variable_rename,[status(thm)],[fact_nat__add__assoc]) ).

fof(i_0_2042,plain,
    ! [X4073] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4073))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X4073))),X4073)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__natfloor__le])]) ).

fof(i_0_2043,plain,
    ! [X4071,X4072] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4072)),X4071))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4072),c_RComplete_Onatfloor(X4071))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__natfloor])]) ).

fof(i_0_2044,plain,
    ! [X3144,X3145,X3146,X3147] :
      ( ~ class_Orderings_Opreorder(X3147)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3147,X3146),X3145))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3147,X3145),X3144))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3147,X3146),X3144)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__trans])]) ).

fof(i_0_2045,plain,
    ! [X3217,X3218,X3219,X3220] :
      ( ~ class_Orderings_Opreorder(X3220)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3220,X3219),X3218))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3220,X3218),X3217))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3220,X3219),X3217)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less__trans])]) ).

fof(i_0_2046,plain,
    ! [X3209,X3210,X3211,X3212] :
      ( ~ class_Orderings_Opreorder(X3212)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3212,X3211),X3210))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3212,X3210),X3209))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3212,X3211),X3209)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__le__trans])]) ).

fof(i_0_2047,plain,
    ! [X3148,X3149,X3150,X3151] :
      ( ~ class_Orderings_Oorder(X3151)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3151,X3150),X3149))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3151,X3148),X3150))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3151,X3148),X3149)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I10_J])]) ).

fof(i_0_2048,plain,
    ! [X3221,X3222,X3223,X3224] :
      ( ~ class_Orderings_Oorder(X3224)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3224,X3223),X3222))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3224,X3221),X3223))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3224,X3221),X3222)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I8_J])]) ).

fof(i_0_2049,plain,
    ! [X3213,X3214,X3215,X3216] :
      ( ~ class_Orderings_Oorder(X3216)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3216,X3215),X3214))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3216,X3213),X3215))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3216,X3213),X3214)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I7_J])]) ).

fof(i_0_2050,plain,
    ! [X3071,X3072,X3073,X3074] :
      ( ~ class_Orderings_Opreorder(X3074)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3074,X3073),X3072))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3074,X3072),X3071))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3074,X3073),X3071)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__trans])]) ).

fof(i_0_2051,plain,
    ! [X3078,X3079,X3080,X3081] :
      ( ~ class_Orderings_Oorder(X3081)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3081,X3080),X3079))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3081,X3078),X3080))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3081,X3078),X3079)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I6_J])]) ).

cnf(i_0_2052,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_1362]) ).

fof(i_0_2053,plain,
    ! [X2781] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X2781))),v_r)),
    inference(variable_rename,[status(thm)],[fact_assms]) ).

cnf(i_0_2054,plain,
    ( hBOOL(hAPP(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_1354]) ).

cnf(i_0_2055,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),c_Nat_OSuc(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1357]) ).

fof(i_0_2056,plain,
    ! [X4403,X4404,X4405,X4406] :
      ( ( hAPP(hAPP(c_Power_Opower__class_Opower(X4406),X4405),X4404) != hAPP(hAPP(c_Power_Opower__class_Opower(X4406),X4405),X4403)
        | X4404 = X4403
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4406,c_Groups_Oone__class_Oone(X4406)),X4405))
        | ~ class_Rings_Olinordered__semidom(X4406) )
      & ( X4404 != X4403
        | hAPP(hAPP(c_Power_Opower__class_Opower(X4406),X4405),X4404) = hAPP(hAPP(c_Power_Opower__class_Opower(X4406),X4405),X4403)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4406,c_Groups_Oone__class_Oone(X4406)),X4405))
        | ~ class_Rings_Olinordered__semidom(X4406) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inject__exp])])]) ).

fof(i_0_2057,plain,
    ! [X3303,X3304,X3305,X3306] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3306),X3305))
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3304),X3305) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3306),X3303)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3304),X3303)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__eq__less])]) ).

fof(i_0_2058,plain,
    ! [X4092,X4093] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4093))
      | c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4093),c_RealDef_Oreal(tc_Nat_Onat,X4092))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X4093)),X4092) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__add])]) ).

fof(i_0_2059,plain,
    ! [X4114,X4115] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4115))
      | c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4115),c_RealDef_Oreal(tc_Nat_Onat,X4114))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X4115)),X4114) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__add])]) ).

fof(i_0_2060,plain,
    ! [X5065,X5066] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5066),X5065))
      | c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5065,X5066)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X5065),c_RealDef_Oreal(tc_Nat_Onat,X5066)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__diff])]) ).

cnf(i_0_2061,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X1,X2)),c_Nat_OSuc(X1)) = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1384]) ).

fof(i_0_2062,plain,
    ! [X4633,X4634] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4634))
      | c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4634),X4633)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4633)),c_Transcendental_Oln(X4634)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__realpow])]) ).

cnf(i_0_2063,plain,
    ( c_Transcendental_Ocos(c_Transcendental_Oarccos(X1)) = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(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_1385]) ).

cnf(i_0_2064,plain,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1386]) ).

fof(i_0_2065,plain,
    ! [X5231,X5232,X5233,X5234] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X5234,X5233),c_Complex_Ocomplex_OComplex(X5232,X5231)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5234,X5232),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5233,X5231)),
    inference(variable_rename,[status(thm)],[fact_complex__diff]) ).

fof(i_0_2066,plain,
    ! [X5111,X5112,X5113,X5114] :
      ( ( X5113 != c_Groups_Ozero__class_Ozero(X5114)
        | c_Divides_Odiv__class_Odiv(X5114,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5114),X5113),X5112),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5114),X5113),X5111)) = c_Groups_Ozero__class_Ozero(X5114)
        | ~ class_Divides_Osemiring__div(X5114) )
      & ( X5113 = c_Groups_Ozero__class_Ozero(X5114)
        | c_Divides_Odiv__class_Odiv(X5114,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5114),X5113),X5112),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5114),X5113),X5111)) = c_Divides_Odiv__class_Odiv(X5114,X5112,X5111)
        | ~ class_Divides_Osemiring__div(X5114) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult1__if])])]) ).

fof(i_0_2067,plain,
    ! [X5125,X5126,X5127,X5128] :
      ( ~ class_Divides_Osemiring__div(X5128)
      | X5127 = c_Groups_Ozero__class_Ozero(X5128)
      | c_Divides_Odiv__class_Odiv(X5128,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5128),X5127),X5126),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5128),X5127),X5125)) = c_Divides_Odiv__class_Odiv(X5128,X5126,X5125) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult1])]) ).

fof(i_0_2068,plain,
    ! [X5121,X5122,X5123,X5124] :
      ( ~ class_Divides_Osemiring__div(X5124)
      | X5123 = c_Groups_Ozero__class_Ozero(X5124)
      | c_Divides_Odiv__class_Odiv(X5124,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5124),X5122),X5123),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5124),X5121),X5123)) = c_Divides_Odiv__class_Odiv(X5124,X5122,X5121) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult2])]) ).

fof(i_0_2069,plain,
    ! [X2997,X2998] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2998,c_Groups_Oabs__class_Oabs(X2998,X2997)),c_Groups_Ozero__class_Ozero(X2998)))
        | X2997 = c_Groups_Ozero__class_Ozero(X2998)
        | ~ class_Groups_Oordered__ab__group__add__abs(X2998) )
      & ( X2997 != c_Groups_Ozero__class_Ozero(X2998)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2998,c_Groups_Oabs__class_Oabs(X2998,X2997)),c_Groups_Ozero__class_Ozero(X2998)))
        | ~ class_Groups_Oordered__ab__group__add__abs(X2998) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__zero__iff])])]) ).

fof(i_0_2070,plain,
    ! [X2808,X2809] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2809)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2809,c_Groups_Oabs__class_Oabs(X2809,X2808)),c_Groups_Ozero__class_Ozero(X2809))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1387])]) ).

fof(i_0_2071,plain,
    ! [X3631,X3632] :
      ( ~ class_Rings_Olinordered__ring(X3632)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3632,c_Groups_Ozero__class_Ozero(X3632)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3632),X3631),X3631))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__square])]) ).

fof(i_0_2072,plain,
    ! [X2993,X2994] :
      ( ~ class_Rings_Olinordered__semidom(X2994)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2994,X2993),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2994),X2993),c_Groups_Oone__class_Oone(X2994)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__one])]) ).

cnf(i_0_2073,plain,
    hAPP(hAPP(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_1388]) ).

fof(i_0_2074,plain,
    ! [X4616,X4617,X4618,X4619] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X4619,X4618)),c_Complex_Orcis(X4617,X4616)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4619),X4617),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4618),X4616)),
    inference(variable_rename,[status(thm)],[fact_rcis__mult]) ).

fof(i_0_2075,plain,
    ! [X5244,X5245,X5246,X5247] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X5247,X5246)),c_Complex_Ocomplex_OComplex(X5245,X5244)) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5247),X5245),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5246),X5244)),
    inference(variable_rename,[status(thm)],[fact_complex__add]) ).

cnf(i_0_2076,plain,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
    inference(split_conjunct,[status(thm)],[i_0_1389]) ).

fof(i_0_2077,plain,
    ! [X3325,X3326,X3327,X3328] :
      ( ~ class_Rings_Ocomm__semiring__1(X3328)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3328),X3327),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3328),X3326),X3325)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3328),X3326),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3328),X3327),X3325)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J])]) ).

fof(i_0_2078,plain,
    ! [X3801,X3802,X3803,X3804] :
      ( ~ class_Rings_Ocomm__semiring__1(X3804)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3804),X3803),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3804),X3802),X3801)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3804),X3802),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3804),X3803),X3801)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J])]) ).

fof(i_0_2079,plain,
    ! [X4567,X4568,X4569] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4569),X4568))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4568),X4567))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4569),X4567)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__trans])]) ).

fof(i_0_2080,plain,
    ! [X3367,X3368,X3369] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3369),X3368))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3368),X3367))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3369),X3367)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__trans])]) ).

fof(i_0_2081,plain,
    ! [X2847,X2848,X2849] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2849),X2848))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2848),X2847))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2849),X2847)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).

fof(i_0_2082,plain,
    ! [X5175,X5176] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5176),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5176))
        | X5175 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5176,X5175) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5175),X5176))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5176))
        | X5175 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5176,X5175) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5176),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5176),X5175))
        | X5175 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5176,X5175) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5175),X5176))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5176),X5175))
        | X5175 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5176,X5175) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( X5175 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5176,X5175) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5176))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5176),X5175))
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5176,X5175) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5176),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5175),X5176))
        | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5176,X5175) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__eq__0__iff])])]) ).

fof(i_0_2083,plain,
    ! [X5162,X5163] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5163))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5163),X5162))
      | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5163,X5162) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__pos__pos__trivial])]) ).

fof(i_0_2084,plain,
    ! [X4326] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4326))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4326),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4326)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__realpow])]) ).

fof(i_0_2085,plain,
    ! [X4325] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4325))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4325),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4325)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convergent__realpow])]) ).

fof(i_0_2086,plain,
    ! [X4324] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4324))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4324),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4324)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monoseq__realpow])]) ).

fof(i_0_2087,plain,
    ! [X4784,X4785,X4786] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4786,X4785),X4784) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4786,X4784),X4785),
    inference(variable_rename,[status(thm)],[fact_diff__commute]) ).

cnf(i_0_2088,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_1390]) ).

cnf(i_0_2089,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
    | ~ class_Power_Opower(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1391]) ).

cnf(i_0_2090,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1392]) ).

cnf(i_0_2091,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1393]) ).

cnf(i_0_2092,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X1)),X2) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),X1)),
    inference(split_conjunct,[status(thm)],[i_0_1394]) ).

fof(i_0_2093,plain,
    ! [X5153,X5154] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5154),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5153),X5154))
      | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5154,X5153) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__neg__neg__trivial])]) ).

fof(i_0_2094,plain,
    ! [X3014,X3015] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3015,X3014)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | X3014 = c_Groups_Ozero__class_Ozero(X3015)
        | ~ class_RealVector_Oreal__normed__vector(X3015) )
      & ( X3014 != c_Groups_Ozero__class_Ozero(X3015)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3015,X3014)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | ~ class_RealVector_Oreal__normed__vector(X3015) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__le__zero__iff])])]) ).

fof(i_0_2095,plain,
    ! [X3170,X3171,X3172] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,X3171),X3170))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3172,X3171),X3170))
        | ~ class_Orderings_Opreorder(X3172) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,X3170),X3171))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3172,X3171),X3170))
        | ~ class_Orderings_Opreorder(X3172) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,X3171),X3170))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,X3170),X3171))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3172,X3171),X3170))
        | ~ class_Orderings_Opreorder(X3172) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1395])])]) ).

fof(i_0_2096,plain,
    ! [X4060] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4060))
      | c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4060),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X4060)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__add__one])]) ).

fof(i_0_2097,plain,
    ! [X4052] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4052))
      | c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4052),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X4052)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__add__one])]) ).

fof(i_0_2098,plain,
    ! [X5205,X5206,X5207] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5207,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5206),X5205)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5207,X5206),X5205),
    inference(variable_rename,[status(thm)],[fact_div__mult2__eq]) ).

fof(i_0_2099,plain,
    ! [X4741,X4742,X4743] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4743,X4742),X4741) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4743,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4742),X4741)),
    inference(variable_rename,[status(thm)],[fact_diff__diff__left]) ).

fof(i_0_2100,plain,
    ! [X3017,X3018] :
      ( ~ class_RealVector_Oreal__normed__vector(X3018)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3018,X3017)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1396])]) ).

fof(i_0_2101,plain,
    ! [X4106] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X4106)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4106)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4106))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X4106))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__gt__zero__cancel__iff])]) ).

cnf(i_0_2102,plain,
    ( hBOOL(hAPP(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_1367]) ).

cnf(i_0_2103,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_1397]) ).

fof(i_0_2104,plain,
    ! [X4650,X4651] :
      ( ( c_Transcendental_Oln(X4651) != c_Transcendental_Oln(X4650)
        | X4651 = X4650
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4650))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4651)) )
      & ( X4651 != X4650
        | c_Transcendental_Oln(X4651) = c_Transcendental_Oln(X4650)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4650))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4651)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__inj__iff])])]) ).

fof(i_0_2105,plain,
    ! [X4103,X4104] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4104),c_RealDef_Oreal(tc_Nat_Onat,X4103)))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4104)),X4103)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__le])]) ).

fof(i_0_2106,plain,
    ! [X5216,X5217,X5218] :
      ( ( X5218 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5218),X5217),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5218),X5216)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X5218 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5218),X5217),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5218),X5216)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5217,X5216) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__div__cancel__disj])]) ).

fof(i_0_2107,plain,
    ! [X3932,X3933,X3934] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3934),X3933) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3934),X3932)
        | X3933 = X3932
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3934)) )
      & ( X3933 != X3932
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3934),X3933) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3934),X3932)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3934)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__eq__cancel1])])]) ).

fof(i_0_2108,plain,
    ! [X4744,X4745,X4746] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4746),X4745),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4746),X4744)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4745,X4744),
    inference(variable_rename,[status(thm)],[fact_diff__cancel]) ).

fof(i_0_2109,plain,
    ! [X4747,X4748,X4749] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4749),X4748),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4747),X4748)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4749,X4747),
    inference(variable_rename,[status(thm)],[fact_diff__cancel2]) ).

fof(i_0_2110,plain,
    ! [X5223,X5224] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5224))
      | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5224),X5223),X5224) = X5223 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1__is__m])]) ).

fof(i_0_2111,plain,
    ! [X5221,X5222] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5222))
      | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5221),X5222),X5222) = X5221 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self__is__m])]) ).

cnf(i_0_2112,plain,
    hBOOL(hAPP(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_1398]) ).

cnf(i_0_2113,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1399]) ).

cnf(i_0_2114,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),
    inference(split_conjunct,[status(thm)],[i_0_1400]) ).

fof(i_0_2115,plain,
    ! [X4726,X4727] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4727),X4726))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4726,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4726,X4727)) = X4727 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__diff__cancel])]) ).

fof(i_0_2116,plain,
    ! [X4521] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4521)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
        | X4521 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( X4521 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4521)),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_2117,plain,
    ! [X4102] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4102)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
        | X4102 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X4102 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4102)),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])]) ).

cnf(i_0_2118,plain,
    ( hBOOL(hAPP(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_1351]) ).

fof(i_0_2119,plain,
    ! [X4712,X4713,X4714] :
      ( ~ class_Groups_Ogroup__add(X4714)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4714),c_Groups_Ominus__class_Ominus(X4714,X4713,X4712)),X4712) = X4713 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])]) ).

fof(i_0_2120,plain,
    ! [X4081] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4081)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(variable_rename,[status(thm)],[i_0_1401]) ).

cnf(i_0_2121,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)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1402]) ).

cnf(i_0_2122,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))
    | hAPP(hAPP(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_1403]) ).

fof(i_0_2123,plain,
    ! [X4560,X4561,X4562] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4562),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4561),X4560)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4561),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4562),X4560)),
    inference(variable_rename,[status(thm)],[fact_zadd__left__commute]) ).

fof(i_0_2124,plain,
    ! [X3867,X3868,X3869] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3869),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3868),X3867)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3868),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3869),X3867)),
    inference(variable_rename,[status(thm)],[fact_nat__add__left__commute]) ).

cnf(i_0_2125,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X2)))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_1361]) ).

fof(i_0_2126,plain,
    ! [X4860,X4861] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4861),X4860))
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4861),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4860,X4861)) = X4860 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__diff__inverse])]) ).

fof(i_0_2127,plain,
    ! [X3197,X3198,X3199] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3199,X3198),X3197))
        | X3198 = X3197
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3199,X3198),X3197))
        | ~ class_Orderings_Olinorder(X3199) )
      & ( X3198 != X3197
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3199,X3198),X3197))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3199,X3198),X3197))
        | ~ class_Orderings_Olinorder(X3199) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1404])])]) ).

cnf(i_0_2128,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Nat_OSuc(X1))),
    inference(split_conjunct,[status(thm)],[i_0_1405]) ).

fof(i_0_2129,plain,
    ! [X3075,X3076,X3077] :
      ( ~ class_Orderings_Oorder(X3077)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3077,X3076),X3075))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3077,X3075),X3076))
      | X3075 = X3076 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I5_J])]) ).

fof(i_0_2130,plain,
    ! [X3068,X3069,X3070] :
      ( ~ class_Orderings_Oorder(X3070)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3070,X3069),X3068))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3070,X3068),X3069))
      | X3069 = X3068 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__antisym])]) ).

fof(i_0_2131,plain,
    ! [X3049,X3050,X3051] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3051,X3049),X3050))
        | X3049 = X3050
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3051,X3050),X3049))
        | ~ class_Orderings_Oorder(X3051) )
      & ( X3049 != X3050
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3051,X3049),X3050))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3051,X3050),X3049))
        | ~ class_Orderings_Oorder(X3051) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__antisym__conv])])]) ).

fof(i_0_2132,plain,
    ! [X3038,X3039,X3040] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3040,X3039),X3038))
        | X3039 != X3038
        | ~ class_Orderings_Oorder(X3040) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3040,X3038),X3039))
        | X3039 != X3038
        | ~ class_Orderings_Oorder(X3040) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3040,X3039),X3038))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3040,X3038),X3039))
        | X3039 = X3038
        | ~ class_Orderings_Oorder(X3040) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__eq__iff])])]) ).

fof(i_0_2133,plain,
    ! [X3125,X3126,X3127] :
      ( ~ class_Orderings_Oorder(X3127)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3127,X3126),X3125))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3127,X3125),X3126)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1406])]) ).

fof(i_0_2134,plain,
    ! [X3095,X3096,X3097] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3097,X3096),X3095))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3097,X3095),X3096))
        | X3096 = X3095
        | ~ class_Orderings_Olinorder(X3097) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3097,X3095),X3096))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3097,X3096),X3095))
        | ~ class_Orderings_Olinorder(X3097) )
      & ( X3096 != X3095
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3097,X3096),X3095))
        | ~ class_Orderings_Olinorder(X3097) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1407])])]) ).

fof(i_0_2135,plain,
    ! [X3191,X3192,X3193] :
      ( ~ class_Orderings_Olinorder(X3193)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3193,X3192),X3191))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3193,X3191),X3192)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1408])]) ).

fof(i_0_2136,plain,
    ! [X3158,X3159,X3160] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3160,X3159),X3158))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3160,X3158),X3159))
        | ~ class_Orderings_Olinorder(X3160) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3160,X3158),X3159))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3160,X3159),X3158))
        | ~ class_Orderings_Olinorder(X3160) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1409])])]) ).

fof(i_0_2137,plain,
    ! [X3161,X3162,X3163] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3163,X3162),X3161))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3163,X3161),X3162))
        | ~ class_Orderings_Olinorder(X3163) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3163,X3161),X3162))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3163,X3162),X3161))
        | ~ class_Orderings_Olinorder(X3163) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1410])])]) ).

fof(i_0_2138,plain,
    ! [X3152,X3153,X3154] :
      ( ~ class_Orderings_Opreorder(X3154)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3154,X3153),X3152))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3154,X3152),X3153)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1411])]) ).

fof(i_0_2139,plain,
    ! [X3122,X3123,X3124] :
      ( ~ class_Orderings_Opreorder(X3124)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3124,X3123),X3122))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3124,X3122),X3123)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1412])]) ).

fof(i_0_2140,plain,
    ! [X3113,X3114,X3115] :
      ( ~ class_Orderings_Opreorder(X3115)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3115,X3114),X3113))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3115,X3113),X3114)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1413])]) ).

fof(i_0_2141,plain,
    ! [X3110,X3111,X3112] :
      ( ~ class_Orderings_Opreorder(X3112)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3112,X3111),X3110))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3112,X3110),X3111)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1414])]) ).

fof(i_0_2142,plain,
    ! [X2810,X2811] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2811,c_Groups_Ozero__class_Ozero(X2811)),c_Groups_Oabs__class_Oabs(X2811,X2810)))
        | X2810 != c_Groups_Ozero__class_Ozero(X2811)
        | ~ class_Groups_Oordered__ab__group__add__abs(X2811) )
      & ( X2810 = c_Groups_Ozero__class_Ozero(X2811)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2811,c_Groups_Ozero__class_Ozero(X2811)),c_Groups_Oabs__class_Oabs(X2811,X2810)))
        | ~ class_Groups_Oordered__ab__group__add__abs(X2811) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__abs__iff])])]) ).

cnf(i_0_2143,plain,
    hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Ocis(X1)),c_Complex_Ocis(X2)) = c_Complex_Ocis(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_1415]) ).

fof(i_0_2144,plain,
    ! [X4534,X4535,X4536,X4537] : hAPP(hAPP(c_Power_Opower_Opower(X4537,X4536,X4535),X4534),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4536,
    inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__0]) ).

fof(i_0_2145,plain,
    ! [X3407] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3407),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3407),X3407))),
    inference(variable_rename,[status(thm)],[fact_le__square]) ).

fof(i_0_2146,plain,
    ! [X3256,X3257] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3257),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3257),X3256))),
    inference(variable_rename,[status(thm)],[fact_le__add1]) ).

fof(i_0_2147,plain,
    ! [X3254,X3255] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3255),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3254),X3255))),
    inference(variable_rename,[status(thm)],[fact_le__add2]) ).

fof(i_0_2148,plain,
    ! [X5334,X5335,X5336] :
      ( ~ class_Fields_Ofield__inverse__zero(X5336)
      | ~ class_RealVector_Oreal__normed__field(X5336)
      | c_RealVector_Onorm__class_Onorm(X5336,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5336),X5335),X5334)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5336,X5335)),c_RealVector_Onorm__class_Onorm(X5336,X5334)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__divide])]) ).

fof(i_0_2149,plain,
    ! [X3319,X3320,X3321] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3321)
      | c_Groups_Osgn__class_Osgn(X3321,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3321),X3320),X3319)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3321),c_Groups_Osgn__class_Osgn(X3321,X3320)),c_Groups_Osgn__class_Osgn(X3321,X3319)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__mult])]) ).

fof(i_0_2150,plain,
    ! [X3401,X3402,X3403] :
      ( ~ class_Rings_Olinordered__idom(X3403)
      | c_Groups_Osgn__class_Osgn(X3403,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3403),X3402),X3401)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3403),c_Groups_Osgn__class_Osgn(X3403,X3402)),c_Groups_Osgn__class_Osgn(X3403,X3401)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__times])]) ).

fof(i_0_2151,plain,
    ! [X3546,X3547,X3548] :
      ( ~ class_Rings_Olinordered__idom(X3548)
      | c_Groups_Oabs__class_Oabs(X3548,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3548),X3547),X3546)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3548),c_Groups_Oabs__class_Oabs(X3548,X3547)),c_Groups_Oabs__class_Oabs(X3548,X3546)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult])]) ).

fof(i_0_2152,plain,
    ! [X5353,X5354,X5355] :
      ( ~ class_RealVector_Oreal__normed__field(X5355)
      | X5354 = c_Groups_Ozero__class_Ozero(X5355)
      | c_RealVector_Onorm__class_Onorm(X5355,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5355),X5353),X5354)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5355,X5353)),c_RealVector_Onorm__class_Onorm(X5355,X5354)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__norm__divide])]) ).

fof(i_0_2153,plain,
    ! [X4870,X4871,X4872] :
      ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4871,X4872) != X4870
        | X4871 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4870),X4872)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4872),X4871)) )
      & ( X4871 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4870),X4872)
        | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4871,X4872) = X4870
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4872),X4871)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__diff__is__add])])]) ).

fof(i_0_2154,plain,
    ! [X4057] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4057)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4057),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4057),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4057)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__le__eq__one])]) ).

cnf(i_0_2155,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X1)),c_Complex_Ocis(X2)) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2)),
    inference(split_conjunct,[status(thm)],[i_0_1416]) ).

fof(i_0_2156,plain,
    ! [X4792,X4793,X4794] :
      ( ~ class_RealVector_Oreal__normed__vector(X4794)
      | c_RealVector_Onorm__class_Onorm(X4794,c_Groups_Ominus__class_Ominus(X4794,X4793,X4792)) = c_RealVector_Onorm__class_Onorm(X4794,c_Groups_Ominus__class_Ominus(X4794,X4792,X4793)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__minus__commute])]) ).

fof(i_0_2157,plain,
    ! [X4820,X4821,X4822] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X4822)
      | c_Groups_Oabs__class_Oabs(X4822,c_Groups_Ominus__class_Ominus(X4822,X4821,X4820)) = c_Groups_Oabs__class_Oabs(X4822,c_Groups_Ominus__class_Ominus(X4822,X4820,X4821)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__minus__commute])]) ).

fof(i_0_2158,plain,
    ! [X3258,X3259,X3260] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3260)
      | c_RealVector_Onorm__class_Onorm(X3260,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3260),X3259),X3258)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3260,X3259)),c_RealVector_Onorm__class_Onorm(X3260,X3258)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult])]) ).

fof(i_0_2159,plain,
    ! [X4113] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X4113)))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4113)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4113))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X4113))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__natfloor__eq__one])]) ).

fof(i_0_2160,plain,
    ! [X4565,X4566] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4566),X4565))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4565),X4566))
      | X4566 = X4565 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__antisym])]) ).

fof(i_0_2161,plain,
    ! [X3365,X3366] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3366),X3365))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3365),X3366))
      | X3366 = X3365 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__antisym])]) ).

fof(i_0_2162,plain,
    ! [X2845,X2846] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2846),X2845))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2845),X2846))
      | X2846 = X2845 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])]) ).

fof(i_0_2163,plain,
    ! [X4667] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4667))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4667))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__gt__zero])]) ).

fof(i_0_2164,plain,
    ! [X4661] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4661))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4661))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__ge__zero])]) ).

fof(i_0_2165,plain,
    ! [X4652] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4652))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4652)),X4652)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__less__self])]) ).

fof(i_0_2166,plain,
    ! [X3356,X3357,X3358] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3357),X3358))
        | hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | X3358 = X3357
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3358),X3357)) )
      & ( ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | X3358 = X3357
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3358),X3357)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3357),X3358))
        | hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3358),X3357)) )
      & ( ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3358),X3357)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3357),X3358))
        | hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | X3358 = X3357
        | ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358)) )
      & ( ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | X3358 = X3357
        | ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358)) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3357),X3358))
        | hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358)) )
      & ( ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358))
        | ~ hBOOL(hAPP(hAPP(X3356,X3357),X3358)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__cases])])]) ).

fof(i_0_2167,plain,
    ! [X3012,X3013] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X3013,X3012)))
        | X3012 != c_Groups_Ozero__class_Ozero(X3013)
        | ~ class_RealVector_Oreal__normed__vector(X3013) )
      & ( X3012 = c_Groups_Ozero__class_Ozero(X3013)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X3013,X3012)))
        | ~ class_RealVector_Oreal__normed__vector(X3013) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__norm__iff])])]) ).

fof(i_0_2168,plain,
    ! [X4100,X4101] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4101),X4100))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X4101)),c_RComplete_Onatfloor(X4100))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__mono])]) ).

fof(i_0_2169,plain,
    ! [X4054,X4055] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4055),X4054))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4055)),c_RComplete_Onatceiling(X4054))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__mono])]) ).

fof(i_0_2170,plain,
    ! [X4378,X4379,X4380] :
      ( ~ class_Rings_Olinordered__idom(X4380)
      | c_Groups_Oabs__class_Oabs(X4380,hAPP(hAPP(c_Power_Opower__class_Opower(X4380),X4379),X4378)) = hAPP(hAPP(c_Power_Opower__class_Opower(X4380),c_Groups_Oabs__class_Oabs(X4380,X4379)),X4378) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__abs])]) ).

fof(i_0_2171,plain,
    ! [X4531] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4531))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4531)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4531))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4531)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__one__le__iff__zero__less])]) ).

fof(i_0_2172,plain,
    ! [X4891,X4892] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4892),X4891))
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4891),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4892,X4891)) = X4892 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1417])]) ).

fof(i_0_2173,plain,
    ! [X4214,X4215,X4216] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X4216)
      | c_RealVector_Onorm__class_Onorm(X4216,hAPP(hAPP(c_Power_Opower__class_Opower(X4216),X4215),X4214)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4216,X4215)),X4214) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__power])]) ).

fof(i_0_2174,plain,
    ! [X3206,X3207,X3208] :
      ( ~ class_Orderings_Oorder(X3208)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3208,X3207),X3206))
      | X3206 = X3207
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3208,X3207),X3206)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I11_J])]) ).

fof(i_0_2175,plain,
    ! [X3203,X3204,X3205] :
      ( ~ class_Orderings_Oorder(X3205)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3205,X3204),X3203))
      | X3204 = X3203
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3205,X3204),X3203)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__neq__trans])]) ).

fof(i_0_2176,plain,
    ! [X3200,X3201,X3202] :
      ( ~ class_Orderings_Oorder(X3202)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3202,X3201),X3200))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3202,X3201),X3200))
      | X3201 = X3200 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__imp__less__or__eq])]) ).

fof(i_0_2177,plain,
    ! [X3185,X3186,X3187] :
      ( ~ class_Orderings_Oorder(X3187)
      | X3186 = X3185
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3187,X3186),X3185))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3187,X3186),X3185)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__neq__le__trans])]) ).

fof(i_0_2178,plain,
    ! [X3173,X3174,X3175] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3175,X3174),X3173))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3175,X3174),X3173))
        | X3174 = X3173
        | ~ class_Orderings_Oorder(X3175) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3175,X3174),X3173))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3175,X3174),X3173))
        | ~ class_Orderings_Oorder(X3175) )
      & ( X3174 != X3173
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3175,X3174),X3173))
        | ~ class_Orderings_Oorder(X3175) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less])])]) ).

fof(i_0_2179,plain,
    ! [X3167,X3168,X3169] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3169,X3168),X3167))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3169,X3168),X3167))
        | ~ class_Orderings_Oorder(X3169) )
      & ( X3168 != X3167
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3169,X3168),X3167))
        | ~ class_Orderings_Oorder(X3169) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3169,X3168),X3167))
        | X3168 = X3167
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3169,X3168),X3167))
        | ~ class_Orderings_Oorder(X3169) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__le])])]) ).

fof(i_0_2180,plain,
    ! [X3182,X3183,X3184] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3184,X3183),X3182))
        | X3183 = X3182
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3184,X3183),X3182))
        | ~ class_Orderings_Olinorder(X3184) )
      & ( X3183 != X3182
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3184,X3183),X3182))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3184,X3183),X3182))
        | ~ class_Orderings_Olinorder(X3184) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1418])])]) ).

fof(i_0_2181,plain,
    ! [X3188,X3189,X3190] :
      ( ~ class_Orderings_Oorder(X3190)
      | X3189 = X3188
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3190,X3188),X3189))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3190,X3188),X3189)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I12_J])]) ).

cnf(i_0_2182,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)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1402]) ).

cnf(i_0_2183,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)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1402]) ).

cnf(i_0_2184,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | hAPP(hAPP(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_1403]) ).

cnf(i_0_2185,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(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_1403]) ).

cnf(i_0_2186,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | hAPP(hAPP(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_1419]) ).

fof(i_0_2187,plain,
    ! [X4496,X4497] :
      ( ( X4497 = c_Groups_Oone__class_Oone(tc_Int_Oint)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4497),X4496) != c_Groups_Oone__class_Oone(tc_Int_Oint)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4497)) )
      & ( X4496 = c_Groups_Oone__class_Oone(tc_Int_Oint)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4497),X4496) != c_Groups_Oone__class_Oone(tc_Int_Oint)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4497)) )
      & ( X4497 != c_Groups_Oone__class_Oone(tc_Int_Oint)
        | X4496 != c_Groups_Oone__class_Oone(tc_Int_Oint)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4497),X4496) = c_Groups_Oone__class_Oone(tc_Int_Oint)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4497)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__zmult__eq__1__iff])])]) ).

fof(i_0_2188,plain,
    ! [X3194,X3195,X3196] :
      ( ~ class_Orderings_Opreorder(X3196)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3196,X3195),X3194))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3196,X3195),X3194)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__le])]) ).

fof(i_0_2189,plain,
    ! [X4088,X4089] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4089),X4088)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4089)),c_RealDef_Oreal(tc_Nat_Onat,X4088)),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__mult]) ).

fof(i_0_2190,plain,
    ! [X4090,X4091] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4091),X4090)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4091)),c_RealDef_Oreal(tc_Nat_Onat,X4090)),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__add]) ).

fof(i_0_2191,plain,
    ! [X3908,X3909] : hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X3909),X3908)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X3909)),hAPP(c_Complex_ORe,X3908)),
    inference(variable_rename,[status(thm)],[fact_Re_Oadd]) ).

fof(i_0_2192,plain,
    ! [X3229,X3230] : hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X3230),X3229)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X3230)),hAPP(c_Complex_OIm,X3229)),
    inference(variable_rename,[status(thm)],[fact_Im_Oadd]) ).

cnf(i_0_2193,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1399]) ).

cnf(i_0_2194,plain,
    ( X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
    inference(split_conjunct,[status(thm)],[i_0_1399]) ).

fof(i_0_2195,plain,
    ! [X5048,X5049] : hAPP(c_Complex_ORe,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5049,X5048)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X5049),hAPP(c_Complex_ORe,X5048)),
    inference(variable_rename,[status(thm)],[fact_Re_Odiff]) ).

fof(i_0_2196,plain,
    ! [X5046,X5047] : hAPP(c_Complex_OIm,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5047,X5046)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X5047),hAPP(c_Complex_OIm,X5046)),
    inference(variable_rename,[status(thm)],[fact_Im_Odiff]) ).

fof(i_0_2197,plain,
    ! [X3907] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3907)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3907))),
    inference(variable_rename,[status(thm)],[fact_complex__Re__le__cmod]) ).

cnf(i_0_2198,plain,
    c_Complex_Ocis(X1) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1)),
    inference(split_conjunct,[status(thm)],[i_0_1420]) ).

cnf(i_0_2199,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1)) = hAPP(hAPP(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_1421]) ).

cnf(i_0_2200,plain,
    ( X1 = c_Nat_OSuc(esk44_1(X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1422]) ).

fof(i_0_2201,plain,
    ! [X4528,X4529] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4529),X4528))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4529),X4528)) )
      & ( X4529 != X4528
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4529),X4528)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4529),X4528))
        | X4529 = X4528
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4529),X4528)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__le])])]) ).

fof(i_0_2202,plain,
    ! [X3395,X3396] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3396),X3395))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3396),X3395)) )
      & ( X3396 != X3395
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3396),X3395)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3396),X3395))
        | X3396 = X3395
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3396),X3395)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__le])])]) ).

fof(i_0_2203,plain,
    ! [X3393,X3394] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3394),X3393))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3394),X3393))
        | X3394 = X3393 )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3394),X3393))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3394),X3393)) )
      & ( X3394 != X3393
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3394),X3393)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__eq__less__or__eq])])]) ).

fof(i_0_2204,plain,
    ! [X3370,X3371] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3371),X3370))
      | X3371 = X3370
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3371),X3370)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__neq__implies__less])]) ).

fof(i_0_2205,plain,
    ! [X2935,X2936] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2936),X2935))
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2936),X2935)) )
      & ( X2936 != X2935
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2936),X2935)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2936),X2935))
        | X2936 = X2935
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2936),X2935)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__def])])]) ).

fof(i_0_2206,plain,
    ! [X2933,X2934] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2934),X2933))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2934),X2933))
        | X2934 = X2933 )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2934),X2933))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2934),X2933)) )
      & ( X2934 != X2933
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2934),X2933)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__real__def])])]) ).

cnf(i_0_2207,plain,
    ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(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_1402]) ).

cnf(i_0_2208,plain,
    ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(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_1402]) ).

cnf(i_0_2209,plain,
    ( hAPP(hAPP(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_1403]) ).

cnf(i_0_2210,plain,
    ( hAPP(hAPP(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_1403]) ).

fof(i_0_2211,plain,
    ! [X3987,X3988] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3988),X3987))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3988),X3987)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I5_J])]) ).

fof(i_0_2212,plain,
    ! [X3378,X3379] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3379),X3378))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3379),X3378)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__le__nat])]) ).

fof(i_0_2213,plain,
    ! [X3359,X3360] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3360),X3359))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3360),X3359)) )
      & ( X3360 != X3359
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3360),X3359)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__or__eq__imp__le])])]) ).

fof(i_0_2214,plain,
    ! [X4362,X4363] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4363)),X4362) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4363),X4362)),
    inference(variable_rename,[status(thm)],[fact_power__real__of__nat]) ).

fof(i_0_2215,plain,
    ! [X4360,X4361] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4361),X4360)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4361)),X4360),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__power]) ).

fof(i_0_2216,plain,
    ! [X2992] :
      ( ~ class_Rings_Olinordered__semidom(X2992)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2992,c_Groups_Oone__class_Oone(X2992)),c_Groups_Ozero__class_Ozero(X2992))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1423])]) ).

fof(i_0_2217,plain,
    ! [X2990] :
      ( ~ class_Rings_Olinordered__semidom(X2990)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2990,c_Groups_Oone__class_Oone(X2990)),c_Groups_Ozero__class_Ozero(X2990))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1424])]) ).

fof(i_0_2218,plain,
    ! [X3827,X3828] :
      ( ( c_Groups_Osgn__class_Osgn(X3828,X3827) != c_Groups_Oone__class_Oone(X3828)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3828,c_Groups_Ozero__class_Ozero(X3828)),X3827))
        | ~ class_Rings_Olinordered__idom(X3828) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3828,c_Groups_Ozero__class_Ozero(X3828)),X3827))
        | c_Groups_Osgn__class_Osgn(X3828,X3827) = c_Groups_Oone__class_Oone(X3828)
        | ~ class_Rings_Olinordered__idom(X3828) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__1__pos])])]) ).

fof(i_0_2219,plain,
    ! [X3825,X3826] :
      ( ~ class_Rings_Olinordered__idom(X3826)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3826,c_Groups_Ozero__class_Ozero(X3826)),X3825))
      | c_Groups_Osgn__class_Osgn(X3826,X3825) = c_Groups_Oone__class_Oone(X3826) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__pos])]) ).

fof(i_0_2220,plain,
    ! [X3911,X3912,X3914,X3915,X3916] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3912),X3911))
        | X3911 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3912),esk9_2(X3911,X3912)) )
      & ( X3914 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3915),X3916)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3915),X3914)) ) ),
    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])])])])]) ).

fof(i_0_2221,plain,
    ! [X3261,X3262,X3264,X3265,X3266] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3262),X3261))
        | X3261 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3262),esk3_2(X3261,X3262)) )
      & ( X3264 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3265),X3266)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3265),X3264)) ) ),
    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])])])])]) ).

cnf(i_0_2222,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1425]) ).

fof(i_0_2223,plain,
    ! [X3001,X3002] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3002)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3002,c_Groups_Ozero__class_Ozero(X3002)),X3001))
      | c_Groups_Oabs__class_Oabs(X3002,X3001) = X3001 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__pos])]) ).

fof(i_0_2224,plain,
    ! [X2995,X2996] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2996)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2996,c_Groups_Ozero__class_Ozero(X2996)),X2995))
      | c_Groups_Oabs__class_Oabs(X2996,X2995) = X2995 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__nonneg])]) ).

cnf(i_0_2225,plain,
    ( hAPP(hAPP(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_1419]) ).

fof(i_0_2226,plain,
    ! [X3544,X3545] :
      ( ~ class_Rings_Olinordered__idom(X3545)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3545),c_Groups_Oabs__class_Oabs(X3545,X3544)),c_Groups_Oabs__class_Oabs(X3545,X3544)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3545),X3544),X3544) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult__self])]) ).

fof(i_0_2227,plain,
    ! [X5097,X5098] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5098),X5097))
      | c_Nat__Transfer_Otsub(X5097,X5098) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5097,X5098) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_tsub__eq])]) ).

fof(i_0_2228,plain,
    ! [X5093,X5094] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5094),X5093))
        | c_Nat__Transfer_Otsub(X5093,X5094) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5093,X5094) )
      & ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5094),X5093))
        | c_Nat__Transfer_Otsub(X5093,X5094) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1426])]) ).

fof(i_0_2229,plain,
    ! [X4787,X4788,X4789,X4790,X4791] :
      ( ( X4790 != X4789
        | X4788 = X4787
        | c_Groups_Ominus__class_Ominus(X4791,X4790,X4789) != c_Groups_Ominus__class_Ominus(X4791,X4788,X4787)
        | ~ class_Groups_Oab__group__add(X4791) )
      & ( X4788 != X4787
        | X4790 = X4789
        | c_Groups_Ominus__class_Ominus(X4791,X4790,X4789) != c_Groups_Ominus__class_Ominus(X4791,X4788,X4787)
        | ~ class_Groups_Oab__group__add(X4791) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__eq])])]) ).

fof(i_0_2230,plain,
    ! [X4364,X4365] :
      ( X4365 != c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X4365))
      | c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4365),X4364)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X4365)),X4364) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__power])]) ).

fof(i_0_2231,plain,
    ! [X4501,X4502] :
      ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4502),X4501)) != c_Groups_Oone__class_Oone(tc_Int_Oint)
      | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4502) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__zmult__eq__1])]) ).

cnf(i_0_2232,plain,
    ( hAPP(hAPP(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_1427]) ).

fof(i_0_2233,plain,
    ! [X4818,X4819] :
      ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4819,X4818) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4818,X4819) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | X4819 = X4818 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diffs0__imp__equal])]) ).

cnf(i_0_2234,plain,
    ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1428]) ).

fof(i_0_2235,plain,
    ! [X5208,X5209] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5209),X5208))
      | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5209,X5208) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__less])]) ).

fof(i_0_2236,plain,
    ! [X4897,X4898] :
      ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4898,X4897) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4898),X4897)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4898),X4897))
        | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4898,X4897) = 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_2237,plain,
    ! [X4895,X4896] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4896),X4895))
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4896,X4895) = 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_2238,plain,
    ! [X3092,X3093,X3094] :
      ( ( X3093 = X3092
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3094,X3093),X3092))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3094,X3092),X3093))
        | ~ class_Orderings_Olinorder(X3094) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3094,X3093),X3092))
        | X3093 != X3092
        | ~ class_Orderings_Olinorder(X3094) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3094,X3092),X3093))
        | X3093 != X3092
        | ~ class_Orderings_Olinorder(X3094) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__neq__iff])])]) ).

fof(i_0_2239,plain,
    ! [X3155,X3156,X3157] :
      ( ~ class_Orderings_Olinorder(X3157)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3157,X3156),X3155))
      | X3156 = X3155
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3157,X3155),X3156)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1429])]) ).

fof(i_0_2240,plain,
    ! [X3104,X3105,X3106] :
      ( ~ class_Orderings_Olinorder(X3106)
      | X3105 = X3104
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3106,X3105),X3104))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3106,X3104),X3105)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1430])]) ).

fof(i_0_2241,plain,
    ! [X3101,X3102,X3103] :
      ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3103,X3101),X3102))
        | X3101 = X3102
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3103,X3102),X3101))
        | ~ class_Orderings_Olinorder(X3103) )
      & ( X3101 != X3102
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3103,X3101),X3102))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3103,X3102),X3101))
        | ~ class_Orderings_Olinorder(X3103) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1431])])]) ).

fof(i_0_2242,plain,
    ! [X3098,X3099,X3100] :
      ( ~ class_Orderings_Olinorder(X3100)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3100,X3099),X3098))
      | X3099 = X3098
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3100,X3098),X3099)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__less__linear])]) ).

fof(i_0_2243,plain,
    ! [X2816,X2817,X2818] :
      ( ~ class_Rings_Olinordered__idom(X2818)
      | X2817 = X2816
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2818,X2817),X2816))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2818,X2816),X2817)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1432])]) ).

fof(i_0_2244,plain,
    ! [X2831,X2832,X2833,X2834] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2834),X2833),X2832) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2834),X2831),X2832)
        | X2833 = X2831
        | ~ class_Groups_Ocancel__semigroup__add(X2834) )
      & ( X2833 != X2831
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2834),X2833),X2832) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2834),X2831),X2832)
        | ~ class_Groups_Ocancel__semigroup__add(X2834) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__cancel])])]) ).

fof(i_0_2245,plain,
    ! [X2819,X2820,X2821,X2822] :
      ( ~ class_Groups_Ocancel__semigroup__add(X2822)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2822),X2821),X2820) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2822),X2819),X2820)
      | X2821 = X2819 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__imp__eq])]) ).

fof(i_0_2246,plain,
    ! [X2823,X2824,X2825,X2826] :
      ( ~ class_Groups_Ocancel__ab__semigroup__add(X2826)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2826),X2825),X2824) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2826),X2825),X2823)
      | X2824 = X2823 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__imp__eq])]) ).

fof(i_0_2247,plain,
    ! [X2835,X2836,X2837,X2838] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2838),X2837),X2836) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2838),X2837),X2835)
        | X2836 = X2835
        | ~ class_Groups_Ocancel__semigroup__add(X2838) )
      & ( X2836 != X2835
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2838),X2837),X2836) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2838),X2837),X2835)
        | ~ class_Groups_Ocancel__semigroup__add(X2838) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__cancel])])]) ).

fof(i_0_2248,plain,
    ! [X2827,X2828,X2829,X2830] :
      ( ~ class_Groups_Ocancel__semigroup__add(X2830)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2830),X2829),X2828) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2830),X2829),X2827)
      | X2828 = X2827 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__imp__eq])]) ).

fof(i_0_2249,plain,
    ! [X3179,X3180,X3181] :
      ( ~ class_Orderings_Olinorder(X3181)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3181,X3180),X3179))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3181,X3179),X3180)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1433])]) ).

fof(i_0_2250,plain,
    ! [X3164,X3165,X3166] :
      ( ~ class_Orderings_Olinorder(X3166)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3166,X3165),X3164))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3166,X3164),X3165)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__le__less__linear])]) ).

fof(i_0_2251,plain,
    ! [X3176,X3177,X3178] :
      ( ~ class_Orderings_Olinorder(X3178)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3178,X3177),X3176))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3178,X3176),X3177)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1434])]) ).

fof(i_0_2252,plain,
    ! [X3087,X3088,X3089] :
      ( ~ class_Orderings_Olinorder(X3089)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3089,X3088),X3087))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3089,X3087),X3088)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1435])]) ).

fof(i_0_2253,plain,
    ! [X3035,X3036,X3037] :
      ( ~ class_Orderings_Olinorder(X3037)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3037,X3036),X3035))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3037,X3035),X3036)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__linear])]) ).

cnf(i_0_2254,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Transcendental_Ocos(X2)),
    inference(split_conjunct,[status(thm)],[i_0_1436]) ).

cnf(i_0_2255,plain,
    hAPP(c_Complex_OIm,c_Complex_Orcis(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Transcendental_Osin(X2)),
    inference(split_conjunct,[status(thm)],[i_0_1437]) ).

fof(i_0_2256,plain,
    ! [X5118,X5119,X5120] :
      ( ~ class_Divides_Osemiring__div(X5120)
      | X5119 = c_Groups_Ozero__class_Ozero(X5120)
      | c_Divides_Odiv__class_Odiv(X5120,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5120),X5119),X5118),X5119) = X5118 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1__is__id])]) ).

fof(i_0_2257,plain,
    ! [X5115,X5116,X5117] :
      ( ~ class_Divides_Osemiring__div(X5117)
      | X5116 = c_Groups_Ozero__class_Ozero(X5117)
      | c_Divides_Odiv__class_Odiv(X5117,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5117),X5115),X5116),X5116) = X5115 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self2__is__id])]) ).

cnf(i_0_2258,plain,
    ( hBOOL(hAPP(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_1422]) ).

cnf(i_0_2259,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)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1402]) ).

cnf(i_0_2260,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(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_1403]) ).

fof(i_0_2261,plain,
    ! [X2999,X3000] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X3000)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3000,c_Groups_Ozero__class_Ozero(X3000)),c_Groups_Oabs__class_Oabs(X3000,X2999))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__ge__zero])]) ).

fof(i_0_2262,plain,
    ! [X4715,X4716,X4717] :
      ( ~ class_Groups_Ogroup__add(X4717)
      | c_Groups_Ominus__class_Ominus(X4717,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4717),X4716),X4715),X4715) = X4716 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__cancel])]) ).

cnf(i_0_2263,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X1,
    inference(split_conjunct,[status(thm)],[i_0_1438]) ).

fof(i_0_2264,plain,
    ! [X4058,X4059] : c_Complex_Oexpi(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X4059),X4058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(X4059)),c_Complex_Oexpi(X4058)),
    inference(variable_rename,[status(thm)],[fact_expi__add]) ).

cnf(i_0_2265,plain,
    ( X1 = X2
    | c_Nat_OSuc(X1) != c_Nat_OSuc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1439]) ).

cnf(i_0_2266,plain,
    ( X1 = X2
    | c_Nat_OSuc(X1) != c_Nat_OSuc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1440]) ).

fof(i_0_2267,plain,
    ! [X4526,X4527] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4527),X4526))
      | X4527 = X4526
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4526),X4527)) ),
    inference(variable_rename,[status(thm)],[fact_zless__linear]) ).

fof(i_0_2268,plain,
    ! [X3399,X3400] :
      ( ( X3400 = X3399
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3400),X3399))
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3399),X3400)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3400),X3399))
        | X3400 != X3399 )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3399),X3400))
        | X3400 != X3399 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__neq__iff])])]) ).

fof(i_0_2269,plain,
    ! [X3387,X3388] :
      ( X3388 = X3387
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3388),X3387))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3387),X3388)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1441])]) ).

fof(i_0_2270,plain,
    ! [X3824] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3824))
      | c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X3824) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sgn__pos])]) ).

fof(i_0_2271,plain,
    ! [X4665] :
      ( ( c_Transcendental_Oln(X4665) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X4665 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4665)) )
      & ( X4665 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | c_Transcendental_Oln(X4665) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4665)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__eq__zero__iff])])]) ).

cnf(i_0_2272,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_1442]) ).

fof(i_0_2273,plain,
    ! [X4570,X4571] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4571),X4570))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4570),X4571)) ),
    inference(variable_rename,[status(thm)],[fact_zle__linear]) ).

fof(i_0_2274,plain,
    ! [X3397,X3398] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3398),X3397))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3397),X3398)) ),
    inference(variable_rename,[status(thm)],[fact_nat__le__linear]) ).

fof(i_0_2275,plain,
    ! [X2850,X2851] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2851),X2850))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2850),X2851)) ),
    inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).

fof(i_0_2276,plain,
    ! [X3452,X3453,X3454] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3454),X3453) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3452),X3453)
        | X3454 = X3452
        | X3453 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3454 != X3452
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3454),X3453) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3452),X3453) )
      & ( X3453 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3454),X3453) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3452),X3453) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__cancel2])])]) ).

fof(i_0_2277,plain,
    ! [X3541,X3542,X3543] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3542),X3543) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3541),X3543)
        | X3542 = X3541
        | X3543 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X3542 != X3541
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3542),X3543) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3541),X3543)
        | X3543 = 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_2278,plain,
    ! [X3952,X3953,X3954] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3954),X3953) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3954),X3952)
        | X3954 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X3953 = X3952 )
      & ( X3954 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3954),X3953) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3954),X3952) )
      & ( X3953 != X3952
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3954),X3953) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3954),X3952) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__eq__cancel__disj])])]) ).

fof(i_0_2279,plain,
    ! [X3455,X3456,X3457] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3457),X3456) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3457),X3455)
        | X3456 = X3455
        | X3457 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3456 != X3455
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3457),X3456) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3457),X3455) )
      & ( X3457 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3457),X3456) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3457),X3455) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__cancel1])])]) ).

fof(i_0_2280,plain,
    ! [X3538,X3539,X3540] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3540),X3539) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3540),X3538)
        | X3539 = X3538
        | X3540 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
      & ( X3539 != X3538
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3540),X3539) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3540),X3538)
        | X3540 = 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_2281,plain,
    ! [X5375] : hAPP(c_Complex_ORe,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X5375)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5375)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5375)),
    inference(variable_rename,[status(thm)],[fact_Re__sgn]) ).

fof(i_0_2282,plain,
    ! [X5374] : hAPP(c_Complex_OIm,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X5374)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5374)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5374)),
    inference(variable_rename,[status(thm)],[fact_Im__sgn]) ).

fof(i_0_2283,plain,
    ! [X5341,X5342,X5343,X5344] :
      ( ~ class_Rings_Odivision__ring(X5344)
      | X5343 = c_Groups_Ozero__class_Ozero(X5344)
      | X5342 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5344),X5341),X5343)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5344),X5342),X5343) = X5341 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__eq__imp])]) ).

fof(i_0_2284,plain,
    ! [X5345,X5346,X5347,X5348] :
      ( ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5348),X5346),X5347) != X5345
        | X5346 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5348),X5345),X5347)
        | X5347 = c_Groups_Ozero__class_Ozero(X5348)
        | ~ class_Rings_Odivision__ring(X5348) )
      & ( X5346 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5348),X5345),X5347)
        | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5348),X5346),X5347) = X5345
        | X5347 = c_Groups_Ozero__class_Ozero(X5348)
        | ~ class_Rings_Odivision__ring(X5348) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__divide__eq__eq])])]) ).

fof(i_0_2285,plain,
    ! [X5349,X5350,X5351,X5352] :
      ( ( X5350 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5352),X5349),X5351)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5352),X5350),X5351) = X5349
        | X5351 = c_Groups_Ozero__class_Ozero(X5352)
        | ~ class_Rings_Odivision__ring(X5352) )
      & ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5352),X5350),X5351) != X5349
        | X5350 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5352),X5349),X5351)
        | X5351 = c_Groups_Ozero__class_Ozero(X5352)
        | ~ class_Rings_Odivision__ring(X5352) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__eq__divide__eq])])]) ).

fof(i_0_2286,plain,
    ! [X5337,X5338,X5339,X5340] :
      ( ~ class_Rings_Odivision__ring(X5340)
      | X5339 = c_Groups_Ozero__class_Ozero(X5340)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5340),X5338),X5339) != X5337
      | X5338 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5340),X5337),X5339) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__divide__imp])]) ).

fof(i_0_2287,plain,
    ! [X3019,X3020] :
      ( ~ class_RealVector_Oreal__normed__vector(X3020)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X3020,X3019))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__ge__zero])]) ).

fof(i_0_2288,plain,
    ! [X3882,X3883,X3884] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3884),X3883) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3882),X3883)
        | X3884 = X3882 )
      & ( X3884 != X3882
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3884),X3883) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3882),X3883) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__right__cancel])]) ).

fof(i_0_2289,plain,
    ! [X3879,X3880,X3881] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3881),X3880) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3881),X3879)
        | X3880 = X3879 )
      & ( X3880 != X3879
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3881),X3880) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3881),X3879) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel])]) ).

fof(i_0_2290,plain,
    ! [X4098] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4098),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X4098)))),
    inference(variable_rename,[status(thm)],[fact_real__natceiling__ge]) ).

fof(i_0_2291,plain,
    ! [X4899,X4900] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4900,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4900),X4899)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_diff__add__0]) ).

fof(i_0_2292,plain,
    ! [X3822] :
      ( ( X3822 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3822)) )
      & ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3822))
        | X3822 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neq0__conv])]) ).

fof(i_0_2293,plain,
    ! [X4739,X4740] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4740),X4739),X4740) = X4739,
    inference(variable_rename,[status(thm)],[fact_diff__add__inverse]) ).

fof(i_0_2294,plain,
    ! [X4737,X4738] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4738),X4737),X4737) = X4738,
    inference(variable_rename,[status(thm)],[fact_diff__add__inverse2]) ).

fof(i_0_2295,plain,
    ! [X2931,X2932] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2932)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2932,X2931),c_Groups_Oabs__class_Oabs(X2932,X2931))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__ge__self])]) ).

fof(i_0_2296,plain,
    ! [X3119,X3120,X3121] :
      ( ~ class_Orderings_Oorder(X3121)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3121,X3120),X3119))
      | X3119 != X3120 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__not__eq2])]) ).

fof(i_0_2297,plain,
    ! [X3116,X3117,X3118] :
      ( ~ class_Orderings_Oorder(X3118)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3118,X3117),X3116))
      | X3117 != X3116 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__not__eq])]) ).

fof(i_0_2298,plain,
    ! [X3107,X3108,X3109] :
      ( ~ class_Orderings_Oorder(X3109)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3109,X3108),X3107))
      | X3108 != X3107 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__neq])]) ).

fof(i_0_2299,plain,
    ! [X3438,X3439] :
      ( ~ class_Rings_Olinordered__idom(X3439)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3439),c_Groups_Osgn__class_Osgn(X3439,X3438)),c_Groups_Oabs__class_Oabs(X3439,X3438)) = X3438 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__sgn__abs])]) ).

fof(i_0_2300,plain,
    ! [X3090,X3091] :
      ( ~ class_Orderings_Opreorder(X3091)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3091,X3090),X3090)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1443])]) ).

fof(i_0_2301,plain,
    ! [X4105] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4105),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
      | c_RComplete_Onatfloor(X4105) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__neg])]) ).

fof(i_0_2302,plain,
    ! [X4056] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4056),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
      | c_RComplete_Onatceiling(X4056) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__neg])]) ).

fof(i_0_2303,plain,
    ! [X3923,X3924] :
      ( ~ c_SEQ_Osubseq(X3924)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3923),hAPP(X3924,X3923))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_seq__suble])]) ).

fof(i_0_2304,plain,
    ! [X4068] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X4068))),
    inference(variable_rename,[status(thm)],[fact_real__of__nat__ge__zero]) ).

fof(i_0_2305,plain,
    ! [X3815] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3815),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | X3815 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3815 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3815),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__0__eq])]) ).

fof(i_0_2306,plain,
    ! [X3823] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3823),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(variable_rename,[status(thm)],[i_0_1444]) ).

fof(i_0_2307,plain,
    ! [X3817] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3817),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(variable_rename,[status(thm)],[i_0_1445]) ).

fof(i_0_2308,plain,
    ! [X3232] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3232),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(variable_rename,[status(thm)],[i_0_1446]) ).

fof(i_0_2309,plain,
    ! [X2777,X2778] :
      ( hAPP(X2778,esk1_2(X2777,X2778)) != hAPP(X2777,esk1_2(X2777,X2778))
      | X2778 = X2777 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])]) ).

fof(i_0_2310,plain,
    ! [X2991] :
      ( ~ class_Rings_Olinordered__semidom(X2991)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2991,c_Groups_Ozero__class_Ozero(X2991)),c_Groups_Oone__class_Oone(X2991))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__one])]) ).

fof(i_0_2311,plain,
    ! [X2989] :
      ( ~ class_Rings_Olinordered__semidom(X2989)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2989,c_Groups_Ozero__class_Ozero(X2989)),c_Groups_Oone__class_Oone(X2989))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__one])]) ).

fof(i_0_2312,plain,
    ! [X3811,X3812] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3812),X3811))
      | X3811 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr__implies__not0])]) ).

fof(i_0_2313,plain,
    ! [X3938,X3939] :
      ( ~ class_RealVector_Ometric__space(X3939)
      | c_SEQ_Oconvergent(X3939,c_COMBK(X3939,tc_Nat_Onat,X3938)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convergent__const])]) ).

cnf(i_0_2314,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_2315,plain,
    ! [X4400,X4401,X4402] :
      ( ( X4401 = c_Groups_Ozero__class_Ozero(X4402)
        | hAPP(hAPP(c_Power_Opower__class_Opower(X4402),X4401),X4400) != c_Groups_Ozero__class_Ozero(X4402)
        | ~ class_Power_Opower(X4402)
        | ~ class_Rings_Omult__zero(X4402)
        | ~ class_Rings_Ono__zero__divisors(X4402)
        | ~ class_Rings_Ozero__neq__one(X4402) )
      & ( X4400 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(X4402),X4401),X4400) != c_Groups_Ozero__class_Ozero(X4402)
        | ~ class_Power_Opower(X4402)
        | ~ class_Rings_Omult__zero(X4402)
        | ~ class_Rings_Ono__zero__divisors(X4402)
        | ~ class_Rings_Ozero__neq__one(X4402) )
      & ( X4401 != c_Groups_Ozero__class_Ozero(X4402)
        | X4400 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(X4402),X4401),X4400) = c_Groups_Ozero__class_Ozero(X4402)
        | ~ class_Power_Opower(X4402)
        | ~ class_Rings_Omult__zero(X4402)
        | ~ class_Rings_Ono__zero__divisors(X4402)
        | ~ class_Rings_Ozero__neq__one(X4402) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__0__iff])])]) ).

fof(i_0_2316,plain,
    ! [X3384,X3385] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3385),X3384))
      | X3384 != X3385 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__not__refl2])]) ).

fof(i_0_2317,plain,
    ! [X3382,X3383] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3383),X3382))
      | X3383 != X3382 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__not__refl3])]) ).

fof(i_0_2318,plain,
    ! [X5478,X5479,X5480,X5481] : hAPP(c_COMBK(X5481,X5480,X5479),X5478) = X5479,
    inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).

cnf(i_0_2319,plain,
    ( c_Transcendental_Osin(X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1447]) ).

cnf(i_0_2320,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),
    inference(split_conjunct,[status(thm)],[i_0_1448]) ).

fof(i_0_2321,plain,
    ! [X5300,X5301,X5302,X5303] : c_Complex_Ocomplex_Ocomplex__case(X5303,X5302,c_Complex_Ocomplex_OComplex(X5301,X5300)) = hAPP(hAPP(X5302,X5301),X5300),
    inference(variable_rename,[status(thm)],[fact_complex_Osimps_I2_J]) ).

fof(i_0_2322,plain,
    ! [X5296,X5297,X5298,X5299] : c_Complex_Ocomplex_Ocomplex__rec(X5299,X5298,c_Complex_Ocomplex_OComplex(X5297,X5296)) = hAPP(hAPP(X5298,X5297),X5296),
    inference(variable_rename,[status(thm)],[fact_complex_Orecs]) ).

fof(i_0_2323,plain,
    ! [X3409] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3409),X3409)),
    inference(variable_rename,[status(thm)],[i_0_1449]) ).

fof(i_0_2324,plain,
    ! [X3386] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3386),X3386)),
    inference(variable_rename,[status(thm)],[i_0_1450]) ).

fof(i_0_2325,plain,
    ! [X3322,X3323,X3324] :
      ( ~ class_Rings_Ocomm__semiring__1(X3324)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3324),X3323),X3322) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3324),X3322),X3323) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])]) ).

fof(i_0_2326,plain,
    ! [X3805,X3806,X3807] :
      ( ~ class_Rings_Ocomm__semiring__1(X3807)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3807),X3806),X3805) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3807),X3805),X3806) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])]) ).

cnf(i_0_2327,plain,
    ( hAPP(hAPP(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_1419]) ).

fof(i_0_2328,plain,
    ! [X3490,X3491,X3492] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3492),X3491),X3490) != c_Groups_Ozero__class_Ozero(X3492)
        | X3491 = c_Groups_Ozero__class_Ozero(X3492)
        | X3490 = c_Groups_Ozero__class_Ozero(X3492)
        | ~ class_Rings_Oring__no__zero__divisors(X3492) )
      & ( X3491 != c_Groups_Ozero__class_Ozero(X3492)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3492),X3491),X3490) = c_Groups_Ozero__class_Ozero(X3492)
        | ~ class_Rings_Oring__no__zero__divisors(X3492) )
      & ( X3490 != c_Groups_Ozero__class_Ozero(X3492)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3492),X3491),X3490) = c_Groups_Ozero__class_Ozero(X3492)
        | ~ class_Rings_Oring__no__zero__divisors(X3492) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__0__iff])])]) ).

fof(i_0_2329,plain,
    ! [X3487,X3488,X3489] :
      ( ~ class_Rings_Ono__zero__divisors(X3489)
      | X3488 = c_Groups_Ozero__class_Ozero(X3489)
      | X3487 = c_Groups_Ozero__class_Ozero(X3489)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3489),X3488),X3487) != c_Groups_Ozero__class_Ozero(X3489) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_no__zero__divisors])]) ).

fof(i_0_2330,plain,
    ! [X3484,X3485,X3486] :
      ( ~ class_Rings_Ono__zero__divisors(X3486)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3486),X3485),X3484) != c_Groups_Ozero__class_Ozero(X3486)
      | X3485 = c_Groups_Ozero__class_Ozero(X3486)
      | X3484 = c_Groups_Ozero__class_Ozero(X3486) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divisors__zero])]) ).

fof(i_0_2331,plain,
    ! [X5317,X5318,X5319] :
      ( ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5319),X5317),X5318) != c_Groups_Oone__class_Oone(X5319)
        | X5317 = X5318
        | X5318 = c_Groups_Ozero__class_Ozero(X5319)
        | ~ class_Rings_Odivision__ring(X5319) )
      & ( X5317 != X5318
        | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5319),X5317),X5318) = c_Groups_Oone__class_Oone(X5319)
        | X5318 = c_Groups_Ozero__class_Ozero(X5319)
        | ~ class_Rings_Odivision__ring(X5319) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__inverse__eq])])]) ).

fof(i_0_2332,plain,
    ! [X4804,X4805,X4806] :
      ( ( X4805 != X4804
        | c_Groups_Ominus__class_Ominus(X4806,X4805,X4804) = c_Groups_Ozero__class_Ozero(X4806)
        | ~ class_Groups_Oab__group__add(X4806) )
      & ( c_Groups_Ominus__class_Ominus(X4806,X4805,X4804) != c_Groups_Ozero__class_Ozero(X4806)
        | X4805 = X4804
        | ~ class_Groups_Oab__group__add(X4806) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__iff__diff__eq__0])])]) ).

fof(i_0_2333,plain,
    ! [X4807,X4808,X4809] :
      ( ( c_Groups_Ominus__class_Ominus(X4809,X4808,X4807) != c_Groups_Ozero__class_Ozero(X4809)
        | X4808 = X4807
        | ~ class_Groups_Ogroup__add(X4809) )
      & ( X4808 != X4807
        | c_Groups_Ominus__class_Ominus(X4809,X4808,X4807) = c_Groups_Ozero__class_Ozero(X4809)
        | ~ class_Groups_Ogroup__add(X4809) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__minus__eq])])]) ).

cnf(i_0_2334,plain,
    c_Nat_OSuc(X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(split_conjunct,[status(thm)],[i_0_1451]) ).

fof(i_0_2335,plain,
    ! [X4366,X4367,X4368] :
      ( ~ class_Rings_Oring__1__no__zero__divisors(X4368)
      | X4367 = c_Groups_Ozero__class_Ozero(X4368)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4368),X4367),X4366) != c_Groups_Ozero__class_Ozero(X4368) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_field__power__not__zero])]) ).

fof(i_0_2336,plain,
    ! [X3225,X3226] :
      ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3226),X3225),X3225) != c_Groups_Ozero__class_Ozero(X3226)
        | X3225 = c_Groups_Ozero__class_Ozero(X3226)
        | ~ class_Groups_Olinordered__ab__group__add(X3226) )
      & ( X3225 != c_Groups_Ozero__class_Ozero(X3226)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3226),X3225),X3225) = c_Groups_Ozero__class_Ozero(X3226)
        | ~ class_Groups_Olinordered__ab__group__add(X3226) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__eq__0__iff])])]) ).

fof(i_0_2337,plain,
    ! [X2859,X2860] :
      ( ( c_Groups_Ozero__class_Ozero(X2860) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2860),X2859),X2859)
        | X2859 = c_Groups_Ozero__class_Ozero(X2860)
        | ~ class_Groups_Olinordered__ab__group__add(X2860) )
      & ( X2859 != c_Groups_Ozero__class_Ozero(X2860)
        | c_Groups_Ozero__class_Ozero(X2860) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2860),X2859),X2859)
        | ~ class_Groups_Olinordered__ab__group__add(X2860) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__zero__sym])])]) ).

fof(i_0_2338,plain,
    ! [X4099] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X4099))),
    inference(variable_rename,[status(thm)],[fact_zero__le__natfloor]) ).

fof(i_0_2339,plain,
    ! [X4053] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X4053))),
    inference(variable_rename,[status(thm)],[fact_zero__le__natceiling]) ).

fof(i_0_2340,plain,
    ! [X3436,X3437] :
      ( ~ class_Rings_Olinordered__idom(X3437)
      | c_Groups_Oabs__class_Oabs(X3437,X3436) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3437),X3436),c_Groups_Osgn__class_Osgn(X3437,X3436)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__sgn])]) ).

fof(i_0_2341,plain,
    ! [X3237,X3238,X3239] :
      ( ( X3238 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3239),X3238),X3237)
        | X3237 = c_Groups_Ozero__class_Ozero(X3239)
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3239) )
      & ( X3237 != c_Groups_Ozero__class_Ozero(X3239)
        | X3238 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3239),X3238),X3237)
        | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3239) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])]) ).

fof(i_0_2342,plain,
    ! [X3041,X3042,X3043] :
      ( ~ class_Orderings_Opreorder(X3043)
      | X3042 != X3041
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3043,X3042),X3041)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__eq__refl])]) ).

fof(i_0_2343,plain,
    ! [X3808] :
      ( X3808 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3808)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr0I])]) ).

fof(i_0_2344,plain,
    ! [X4506,X4507] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4507),X4506) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4506),X4507),
    inference(variable_rename,[status(thm)],[fact_zmult__commute]) ).

fof(i_0_2345,plain,
    ! [X3885,X3886] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3886),X3885) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3885),X3886),
    inference(variable_rename,[status(thm)],[fact_nat__mult__commute]) ).

fof(i_0_2346,plain,
    ! [X3895,X3896] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3896),X3895) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3895),X3896),
    inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).

fof(i_0_2347,plain,
    ! [X4563,X4564] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4564),X4563) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4563),X4564),
    inference(variable_rename,[status(thm)],[fact_zadd__commute]) ).

fof(i_0_2348,plain,
    ! [X3865,X3866] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3866),X3865) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3865),X3866),
    inference(variable_rename,[status(thm)],[fact_nat__add__commute]) ).

fof(i_0_2349,plain,
    ! [X3026,X3027] :
      ( ~ class_Orderings_Opreorder(X3027)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3027,X3026),X3026)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__refl])]) ).

fof(i_0_2350,plain,
    ! [X4439,X4440] :
      ( ( X4439 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(X4440),c_Groups_Ozero__class_Ozero(X4440)),X4439) = c_Groups_Oone__class_Oone(X4440)
        | ~ class_Power_Opower(X4440)
        | ~ class_Rings_Osemiring__0(X4440) )
      & ( X4439 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Power_Opower__class_Opower(X4440),c_Groups_Ozero__class_Ozero(X4440)),X4439) = c_Groups_Ozero__class_Ozero(X4440)
        | ~ class_Power_Opower(X4440)
        | ~ class_Rings_Osemiring__0(X4440) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__left])])]) ).

fof(i_0_2351,plain,
    ! [X3821] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3821)),
    inference(variable_rename,[status(thm)],[fact_less__eq__nat_Osimps_I1_J]) ).

fof(i_0_2352,plain,
    ! [X3231] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3231)),
    inference(variable_rename,[status(thm)],[fact_le0]) ).

fof(i_0_2353,plain,
    ! [X3470,X3471] :
      ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3471),X3470) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X3471 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X3470 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3471 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3471),X3470) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3470 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3471),X3470) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__is__0])])]) ).

fof(i_0_2354,plain,
    ! [X3444,X3445] :
      ( X3445 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3445),X3444)
      | X3444 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
      | X3445 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__self__implies__10])]) ).

fof(i_0_2355,plain,
    ! [X5306] : c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X5306) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5306),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5306)),
    inference(variable_rename,[status(thm)],[fact_real__sgn__eq]) ).

cnf(i_0_2356,plain,
    c_Nat_OSuc(X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_1452]) ).

cnf(i_0_2357,plain,
    c_Nat_OSuc(X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_1453]) ).

cnf(i_0_2358,plain,
    c_Nat_OSuc(X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_1454]) ).

cnf(i_0_2359,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[i_0_1455]) ).

cnf(i_0_2360,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[i_0_1456]) ).

cnf(i_0_2361,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[i_0_1457]) ).

fof(i_0_2362,plain,
    ! [X3903,X3904] :
      ( hAPP(c_Complex_ORe,X3904) != hAPP(c_Complex_ORe,X3903)
      | hAPP(c_Complex_OIm,X3904) != hAPP(c_Complex_OIm,X3903)
      | X3904 = X3903 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_complex__equality])]) ).

fof(i_0_2363,plain,
    ! [X3901,X3902] :
      ( ( hAPP(c_Complex_ORe,X3902) = hAPP(c_Complex_ORe,X3901)
        | X3902 != X3901 )
      & ( hAPP(c_Complex_OIm,X3902) = hAPP(c_Complex_OIm,X3901)
        | X3902 != X3901 )
      & ( hAPP(c_Complex_ORe,X3902) != hAPP(c_Complex_ORe,X3901)
        | hAPP(c_Complex_OIm,X3902) != hAPP(c_Complex_OIm,X3901)
        | X3902 = X3901 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_expand__complex__eq])])]) ).

fof(i_0_2364,plain,
    ! [X3893,X3894] :
      ( ( X3894 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3894),X3893) != c_Groups_Oone__class_Oone(tc_Nat_Onat) )
      & ( X3893 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3894),X3893) != c_Groups_Oone__class_Oone(tc_Nat_Onat) )
      & ( X3894 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | X3893 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3894),X3893) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__eq__1__iff])])]) ).

fof(i_0_2365,plain,
    ! [X3813,X3814] :
      ( ( X3814 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3814),X3813) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3813 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3814),X3813) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X3814 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X3813 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3814),X3813) = 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_2366,plain,
    ! [X3898,X3899] :
      ( ( X3899 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3899),X3898) )
      & ( X3898 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3899),X3898) )
      & ( X3899 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | X3898 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
        | c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3899),X3898) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__1__eq__mult__iff])])]) ).

fof(i_0_2367,plain,
    ! [X3380,X3381] :
      ( X3381 != X3380
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3381),X3380)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__imp__le])]) ).

cnf(i_0_2368,plain,
    c_Nat_OSuc(X1) != X1,
    inference(split_conjunct,[status(thm)],[i_0_1458]) ).

cnf(i_0_2369,plain,
    X1 != c_Nat_OSuc(X1),
    inference(split_conjunct,[status(thm)],[i_0_1459]) ).

fof(i_0_2370,plain,
    ! [X4485] :
      ( ~ class_Power_Opower(X4485)
      | c_Power_Opower__class_Opower(X4485) = c_Power_Opower_Opower(X4485,c_Groups_Oone__class_Oone(X4485),c_Groups_Otimes__class_Otimes(X4485)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__power__power])]) ).

fof(i_0_2371,plain,
    ! [X3809,X3810] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3810),X3809) != X3810
      | X3809 = 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_2372,plain,
    ! [X4572] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4572),X4572)),
    inference(variable_rename,[status(thm)],[fact_zle__refl]) ).

fof(i_0_2373,plain,
    ! [X3408] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3408),X3408)),
    inference(variable_rename,[status(thm)],[fact_le__refl]) ).

fof(i_0_2374,plain,
    ! [X2852] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2852),X2852)),
    inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).

fof(i_0_2375,plain,
    ! [X5358,X5359] :
      ( ~ class_Rings_Odivision__ring(X5359)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5359),c_Groups_Ozero__class_Ozero(X5359)),X5358) = c_Groups_Ozero__class_Ozero(X5359) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero__left])]) ).

fof(i_0_2376,plain,
    ! [X5356,X5357] :
      ( ~ class_RealVector_Oreal__normed__field(X5357)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5357),c_Groups_Ozero__class_Ozero(X5357)),X5356) = c_Groups_Ozero__class_Ozero(X5357) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Ozero])]) ).

fof(i_0_2377,plain,
    ! [X4376,X4377] :
      ( ~ class_Groups_Omonoid__mult(X4377)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4377),c_Groups_Oone__class_Oone(X4377)),X4376) = c_Groups_Oone__class_Oone(X4377) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one])]) ).

fof(i_0_2378,plain,
    ! [X3495,X3496] :
      ( ~ class_Rings_Omult__zero(X3496)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3496),c_Groups_Ozero__class_Ozero(X3496)),X3495) = c_Groups_Ozero__class_Ozero(X3496) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__left])]) ).

fof(i_0_2379,plain,
    ! [X3503,X3504] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3504)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3504),c_Groups_Ozero__class_Ozero(X3504)),X3503) = c_Groups_Ozero__class_Ozero(X3504) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ozero__left])]) ).

fof(i_0_2380,plain,
    ! [X3501,X3502] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3502)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3502),c_Groups_Ozero__class_Ozero(X3502)),X3501) = c_Groups_Ozero__class_Ozero(X3502) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Ozero])]) ).

fof(i_0_2381,plain,
    ! [X3412,X3413] :
      ( ~ class_Rings_Ocomm__semiring__1(X3413)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3413),c_Groups_Ozero__class_Ozero(X3413)),X3412) = c_Groups_Ozero__class_Ozero(X3413) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J])]) ).

fof(i_0_2382,plain,
    ! [X3536,X3537] :
      ( ~ class_Groups_Omonoid__mult(X3537)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3537),c_Groups_Oone__class_Oone(X3537)),X3536) = X3536 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1__left])]) ).

fof(i_0_2383,plain,
    ! [X3534,X3535] :
      ( ~ class_Groups_Ocomm__monoid__mult(X3535)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3535),c_Groups_Oone__class_Oone(X3535)),X3534) = X3534 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1])]) ).

fof(i_0_2384,plain,
    ! [X3442,X3443] :
      ( ~ class_Rings_Ocomm__semiring__1(X3443)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3443),c_Groups_Oone__class_Oone(X3443)),X3442) = X3442 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])]) ).

fof(i_0_2385,plain,
    ! [X3233,X3234] :
      ( ~ class_Rings_Ocomm__semiring__1(X3234)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3234),c_Groups_Ozero__class_Ozero(X3234)),X3233) = X3233 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J])]) ).

fof(i_0_2386,plain,
    ! [X2863,X2864] :
      ( ~ class_Groups_Omonoid__add(X2864)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2864),c_Groups_Ozero__class_Ozero(X2864)),X2863) = X2863 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__left])]) ).

fof(i_0_2387,plain,
    ! [X2861,X2862] :
      ( ~ class_Groups_Ocomm__monoid__add(X2862)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2862),c_Groups_Ozero__class_Ozero(X2862)),X2861) = X2861 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0])]) ).

fof(i_0_2388,plain,
    ! [X5322,X5323] :
      ( ( X5322 != c_Groups_Ozero__class_Ozero(X5323)
        | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5323),X5322),X5322) = c_Groups_Ozero__class_Ozero(X5323)
        | ~ class_Rings_Odivision__ring__inverse__zero(X5323) )
      & ( X5322 = c_Groups_Ozero__class_Ozero(X5323)
        | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5323),X5322),X5322) = c_Groups_Oone__class_Oone(X5323)
        | ~ class_Rings_Odivision__ring__inverse__zero(X5323) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__self__if])])]) ).

fof(i_0_2389,plain,
    ! [X5136,X5137] :
      ( ~ class_Divides_Osemiring__div(X5137)
      | c_Divides_Odiv__class_Odiv(X5137,c_Groups_Ozero__class_Ozero(X5137),X5136) = c_Groups_Ozero__class_Ozero(X5137) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__0])]) ).

fof(i_0_2390,plain,
    ! [X5134,X5135] :
      ( ~ class_Divides_Osemiring__div(X5135)
      | c_Divides_Odiv__class_Odiv(X5135,X5134,c_Groups_Ozero__class_Ozero(X5135)) = c_Groups_Ozero__class_Ozero(X5135) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__by__0])]) ).

fof(i_0_2391,plain,
    ! [X5129,X5130] :
      ( ~ class_Divides_Osemiring__div(X5130)
      | X5129 = c_Groups_Ozero__class_Ozero(X5130)
      | c_Divides_Odiv__class_Odiv(X5130,X5129,X5129) = c_Groups_Oone__class_Oone(X5130) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__self])]) ).

fof(i_0_2392,plain,
    ! [X5360,X5361] :
      ( ~ class_Rings_Odivision__ring__inverse__zero(X5361)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5361),X5360),c_Groups_Ozero__class_Ozero(X5361)) = c_Groups_Ozero__class_Ozero(X5361) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero])]) ).

fof(i_0_2393,plain,
    ! [X3493,X3494] :
      ( ~ class_Rings_Omult__zero(X3494)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3494),X3493),c_Groups_Ozero__class_Ozero(X3494)) = c_Groups_Ozero__class_Ozero(X3494) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__right])]) ).

fof(i_0_2394,plain,
    ! [X3499,X3500] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3500)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3500),X3499),c_Groups_Ozero__class_Ozero(X3500)) = c_Groups_Ozero__class_Ozero(X3500) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ozero__right])]) ).

fof(i_0_2395,plain,
    ! [X3497,X3498] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3498)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3498),X3497),c_Groups_Ozero__class_Ozero(X3498)) = c_Groups_Ozero__class_Ozero(X3498) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Ozero])]) ).

fof(i_0_2396,plain,
    ! [X3410,X3411] :
      ( ~ class_Rings_Ocomm__semiring__1(X3411)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3411),X3410),c_Groups_Ozero__class_Ozero(X3411)) = c_Groups_Ozero__class_Ozero(X3411) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J])]) ).

fof(i_0_2397,plain,
    ! [X5320,X5321] :
      ( ~ class_Rings_Odivision__ring(X5321)
      | X5320 = c_Groups_Ozero__class_Ozero(X5321)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5321),X5320),X5320) = c_Groups_Oone__class_Oone(X5321) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__self])]) ).

fof(i_0_2398,plain,
    ! [X5145,X5146] :
      ( ~ class_Divides_Osemiring__div(X5146)
      | c_Divides_Odiv__class_Odiv(X5146,X5145,c_Groups_Oone__class_Oone(X5146)) = X5145 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__by__1])]) ).

fof(i_0_2399,plain,
    ! [X4800,X4801] :
      ( ~ class_Groups_Ogroup__add(X4801)
      | c_Groups_Ominus__class_Ominus(X4801,X4800,c_Groups_Ozero__class_Ozero(X4801)) = X4800 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__0__right])]) ).

fof(i_0_2400,plain,
    ! [X4415,X4416] :
      ( ~ class_Power_Opower(X4416)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4416),X4415),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X4416) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0])]) ).

fof(i_0_2401,plain,
    ! [X4232,X4233] :
      ( ~ class_Rings_Ocomm__semiring__1(X4233)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4233),X4232),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X4233) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J])]) ).

fof(i_0_2402,plain,
    ! [X5315,X5316] :
      ( ~ class_Rings_Odivision__ring(X5316)
      | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5316),X5315),c_Groups_Oone__class_Oone(X5316)) = X5315 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__1])]) ).

fof(i_0_2403,plain,
    ! [X3532,X3533] :
      ( ~ class_Groups_Omonoid__mult(X3533)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3533),X3532),c_Groups_Oone__class_Oone(X3533)) = X3532 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1__right])]) ).

fof(i_0_2404,plain,
    ! [X3530,X3531] :
      ( ~ class_Groups_Ocomm__monoid__mult(X3531)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3531),X3530),c_Groups_Oone__class_Oone(X3531)) = X3530 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ocomm__neutral])]) ).

fof(i_0_2405,plain,
    ! [X3440,X3441] :
      ( ~ class_Rings_Ocomm__semiring__1(X3441)
      | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3441),X3440),c_Groups_Oone__class_Oone(X3441)) = X3440 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J])]) ).

fof(i_0_2406,plain,
    ! [X3235,X3236] :
      ( ~ class_Rings_Ocomm__semiring__1(X3236)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3236),X3235),c_Groups_Ozero__class_Ozero(X3236)) = X3235 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])]) ).

fof(i_0_2407,plain,
    ! [X2857,X2858] :
      ( ~ class_Groups_Omonoid__add(X2858)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2858),X2857),c_Groups_Ozero__class_Ozero(X2858)) = X2857 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__right])]) ).

fof(i_0_2408,plain,
    ! [X2855,X2856] :
      ( ~ class_Groups_Ocomm__monoid__add(X2856)
      | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2856),X2855),c_Groups_Ozero__class_Ozero(X2856)) = X2855 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add_Ocomm__neutral])]) ).

fof(i_0_2409,plain,
    ! [X4802,X4803] :
      ( ~ class_Groups_Ogroup__add(X4803)
      | c_Groups_Ominus__class_Ominus(X4803,X4802,X4802) = c_Groups_Ozero__class_Ozero(X4803) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__self])]) ).

fof(i_0_2410,plain,
    ! [X4385,X4386] :
      ( ~ class_Groups_Omonoid__mult(X4386)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4386),X4385),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4385 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one__right])]) ).

fof(i_0_2411,plain,
    ! [X4167,X4168] :
      ( ~ class_Rings_Ocomm__semiring__1(X4168)
      | hAPP(hAPP(c_Power_Opower__class_Opower(X4168),X4167),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4167 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])]) ).

fof(i_0_2412,plain,
    ! [X3404,X3405] :
      ( ~ class_Rings_Olinordered__idom(X3405)
      | c_Groups_Osgn__class_Osgn(X3405,c_Groups_Osgn__class_Osgn(X3405,X3404)) = c_Groups_Osgn__class_Osgn(X3405,X3404) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__sgn])]) ).

fof(i_0_2413,plain,
    ! [X2853,X2854] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2854)
      | c_Groups_Oabs__class_Oabs(X2854,c_Groups_Oabs__class_Oabs(X2854,X2853)) = c_Groups_Oabs__class_Oabs(X2854,X2853) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__idempotent])]) ).

fof(i_0_2414,plain,
    ! [X5235] : c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X5235),hAPP(c_Complex_OIm,X5235)) = X5235,
    inference(variable_rename,[status(thm)],[fact_complex__surj]) ).

fof(i_0_2415,plain,
    ! [X3227,X3228] :
      ( ~ class_RealVector_Oreal__normed__vector(X3228)
      | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3228,X3227)) = c_RealVector_Onorm__class_Onorm(X3228,X3227) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__norm__cancel])]) ).

fof(i_0_2416,plain,
    ! [X5144] :
      ( X5144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
      | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5144,X5144) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__self])]) ).

fof(i_0_2417,plain,
    ! [X5131] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5131) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(variable_rename,[status(thm)],[fact_zdiv__zero]) ).

fof(i_0_2418,plain,
    ! [X4815] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4815) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_diff__0__eq__0]) ).

fof(i_0_2419,plain,
    ! [X3240,X3241] :
      ( ( X3240 != c_Groups_Ozero__class_Ozero(X3241)
        | c_RealVector_Onorm__class_Onorm(X3241,c_Groups_Osgn__class_Osgn(X3241,X3240)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | ~ class_RealVector_Oreal__normed__vector(X3241) )
      & ( X3240 = c_Groups_Ozero__class_Ozero(X3241)
        | c_RealVector_Onorm__class_Onorm(X3241,c_Groups_Osgn__class_Osgn(X3241,X3240)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | ~ class_RealVector_Oreal__normed__vector(X3241) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__sgn])])]) ).

cnf(i_0_2420,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_2421,plain,
    ! [X4816] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4816,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4816,
    inference(variable_rename,[status(thm)],[fact_minus__nat_Odiff__0]) ).

fof(i_0_2422,plain,
    ! [X4817] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4817,X4817) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_diff__self__eq__0]) ).

fof(i_0_2423,plain,
    ! [X3475] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3475) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_mult__0]) ).

fof(i_0_2424,plain,
    ! [X4041] :
      ( ~ c_SEQ_OBseq(tc_RealDef_Oreal,X4041)
      | ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X4041)
      | c_SEQ_Oconvergent(tc_RealDef_Oreal,X4041) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__monoseq__convergent])]) ).

cnf(i_0_2425,plain,
    c_Transcendental_Ocos(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_cos__zero]) ).

cnf(i_0_2426,plain,
    c_Transcendental_Osin(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_sin__zero]) ).

fof(i_0_2427,plain,
    ! [X4488] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4488) = X4488,
    inference(variable_rename,[status(thm)],[fact_zmult__1]) ).

fof(i_0_2428,plain,
    ! [X3900] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3900) = X3900,
    inference(variable_rename,[status(thm)],[fact_nat__mult__1]) ).

fof(i_0_2429,plain,
    ! [X3549] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X3549) = X3549,
    inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).

fof(i_0_2430,plain,
    ! [X4532] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4532) = X4532,
    inference(variable_rename,[status(thm)],[fact_zadd__0]) ).

fof(i_0_2431,plain,
    ! [X3820] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3820) = X3820,
    inference(variable_rename,[status(thm)],[fact_plus__nat_Oadd__0]) ).

fof(i_0_2432,plain,
    ! [X3472] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3472),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_mult__0__right]) ).

fof(i_0_2433,plain,
    ! [X4613,X4614] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X4614,X4613)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4614),
    inference(variable_rename,[status(thm)],[fact_complex__mod__rcis]) ).

fof(i_0_2434,plain,
    ! [X4489] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4489),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X4489,
    inference(variable_rename,[status(thm)],[fact_zmult__1__right]) ).

fof(i_0_2435,plain,
    ! [X3897] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3897),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X3897,
    inference(variable_rename,[status(thm)],[fact_nat__mult__1__right]) ).

fof(i_0_2436,plain,
    ! [X4530] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4530),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X4530,
    inference(variable_rename,[status(thm)],[fact_zadd__0__right]) ).

fof(i_0_2437,plain,
    ! [X3816] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3816),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X3816,
    inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).

fof(i_0_2438,plain,
    ! [X4076] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4076)) = c_RealDef_Oreal(tc_Nat_Onat,X4076),
    inference(variable_rename,[status(thm)],[fact_abs__real__of__nat__cancel]) ).

fof(i_0_2439,plain,
    ! [X5236,X5237,X5238,X5239] :
      ( ( X5239 = X5237
        | c_Complex_Ocomplex_OComplex(X5239,X5238) != c_Complex_Ocomplex_OComplex(X5237,X5236) )
      & ( X5238 = X5236
        | c_Complex_Ocomplex_OComplex(X5239,X5238) != c_Complex_Ocomplex_OComplex(X5237,X5236) )
      & ( X5239 != X5237
        | X5238 != X5236
        | c_Complex_Ocomplex_OComplex(X5239,X5238) = c_Complex_Ocomplex_OComplex(X5237,X5236) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_complex_Oinject])])]) ).

fof(i_0_2440,plain,
    ! [X3242,X3243] :
      ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3243,X3242) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X3242 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3243))
        | ~ class_Groups_Ozero(X3243) )
      & ( X3242 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3243))
        | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3243,X3242) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ class_Groups_Ozero(X3243) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_psize__eq__0__iff])])]) ).

fof(i_0_2441,plain,
    ! [X4042,X4043] :
      ( ~ class_Orderings_Oorder(X4043)
      | ~ c_SEQ_Oincseq(X4043,X4042)
      | c_SEQ_Omonoseq(X4043,X4042) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_incseq__imp__monoseq])]) ).

fof(i_0_2442,plain,
    ! [X4013,X4014] :
      ( ~ class_Orderings_Oorder(X4014)
      | ~ c_SEQ_Odecseq(X4014,X4013)
      | c_SEQ_Omonoseq(X4014,X4013) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_decseq__imp__monoseq])]) ).

fof(i_0_2443,plain,
    ! [X4074,X4075] :
      ( ( c_RealDef_Oreal(tc_Nat_Onat,X4075) != c_RealDef_Oreal(tc_Nat_Onat,X4074)
        | X4075 = X4074 )
      & ( X4075 != X4074
        | c_RealDef_Oreal(tc_Nat_Onat,X4075) = c_RealDef_Oreal(tc_Nat_Onat,X4074) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__inject])]) ).

fof(i_0_2444,plain,
    ! [X3570,X3571] :
      ( ( c_Groups_Osgn__class_Osgn(X3571,X3570) != c_Groups_Ozero__class_Ozero(X3571)
        | X3570 = c_Groups_Ozero__class_Ozero(X3571)
        | ~ class_RealVector_Oreal__normed__vector(X3571) )
      & ( X3570 != c_Groups_Ozero__class_Ozero(X3571)
        | c_Groups_Osgn__class_Osgn(X3571,X3570) = c_Groups_Ozero__class_Ozero(X3571)
        | ~ class_RealVector_Oreal__normed__vector(X3571) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__zero__iff])])]) ).

fof(i_0_2445,plain,
    ! [X3567,X3568] :
      ( ( c_Groups_Osgn__class_Osgn(X3568,X3567) != c_Groups_Ozero__class_Ozero(X3568)
        | X3567 = c_Groups_Ozero__class_Ozero(X3568)
        | ~ class_Rings_Olinordered__idom(X3568) )
      & ( X3567 != c_Groups_Ozero__class_Ozero(X3568)
        | c_Groups_Osgn__class_Osgn(X3568,X3567) = c_Groups_Ozero__class_Ozero(X3568)
        | ~ class_Rings_Olinordered__idom(X3568) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__0__0])])]) ).

fof(i_0_2446,plain,
    ! [X2925,X2926] :
      ( ( c_Groups_Oabs__class_Oabs(X2926,X2925) != c_Groups_Ozero__class_Ozero(X2926)
        | X2925 = c_Groups_Ozero__class_Ozero(X2926)
        | ~ class_Groups_Oordered__ab__group__add__abs(X2926) )
      & ( X2925 != c_Groups_Ozero__class_Ozero(X2926)
        | c_Groups_Oabs__class_Oabs(X2926,X2925) = c_Groups_Ozero__class_Ozero(X2926)
        | ~ class_Groups_Oordered__ab__group__add__abs(X2926) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__eq__0])])]) ).

fof(i_0_2447,plain,
    ! [X5294,X5295] : c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X5295,X5294)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_complex_Osize_I2_J]) ).

fof(i_0_2448,plain,
    ! [X5242,X5243] : hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(X5243,X5242)) = X5243,
    inference(variable_rename,[status(thm)],[fact_Re]) ).

fof(i_0_2449,plain,
    ! [X5240,X5241] : hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(X5241,X5240)) = X5240,
    inference(variable_rename,[status(thm)],[fact_Im]) ).

fof(i_0_2450,plain,
    ! [X3021,X3022] :
      ( ( c_RealVector_Onorm__class_Onorm(X3022,X3021) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X3021 = c_Groups_Ozero__class_Ozero(X3022)
        | ~ class_RealVector_Oreal__normed__vector(X3022) )
      & ( X3021 != c_Groups_Ozero__class_Ozero(X3022)
        | c_RealVector_Onorm__class_Onorm(X3022,X3021) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | ~ class_RealVector_Oreal__normed__vector(X3022) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__eq__zero])])]) ).

fof(i_0_2451,plain,
    ! [X5421,X5422] :
      ( ~ class_Orderings_Oorder(X5422)
      | class_Orderings_Oorder(tc_fun(X5421,X5422)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Oorder])]) ).

fof(i_0_2452,plain,
    ! [X5423,X5424] :
      ( ~ class_Orderings_Oord(X5424)
      | class_Orderings_Oord(tc_fun(X5423,X5424)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Oord])]) ).

fof(i_0_2453,plain,
    ! [X5419,X5420] :
      ( ~ class_Orderings_Opreorder(X5420)
      | class_Orderings_Opreorder(tc_fun(X5419,X5420)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Opreorder])]) ).

fof(i_0_2454,plain,
    ! [X5289,X5290] : c_Complex_Ocomplex_Ocomplex__size(c_Complex_Ocomplex_OComplex(X5290,X5289)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(variable_rename,[status(thm)],[fact_complex_Osize_I1_J]) ).

fof(i_0_2455,plain,
    ! [X3573] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3573)
      | c_Groups_Osgn__class_Osgn(X3573,c_Groups_Oone__class_Oone(X3573)) = c_Groups_Oone__class_Oone(X3573) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__one])]) ).

fof(i_0_2456,plain,
    ! [X3569] :
      ( ~ class_Groups_Osgn__if(X3569)
      | c_Groups_Osgn__class_Osgn(X3569,c_Groups_Ozero__class_Ozero(X3569)) = c_Groups_Ozero__class_Ozero(X3569) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn0])]) ).

fof(i_0_2457,plain,
    ! [X3572] :
      ( ~ class_RealVector_Oreal__normed__vector(X3572)
      | c_Groups_Osgn__class_Osgn(X3572,c_Groups_Ozero__class_Ozero(X3572)) = c_Groups_Ozero__class_Ozero(X3572) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__zero])]) ).

fof(i_0_2458,plain,
    ! [X2940] :
      ( ~ class_Rings_Olinordered__idom(X2940)
      | c_Groups_Oabs__class_Oabs(X2940,c_Groups_Oone__class_Oone(X2940)) = c_Groups_Oone__class_Oone(X2940) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__one])]) ).

fof(i_0_2459,plain,
    ! [X2927] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X2927)
      | c_Groups_Oabs__class_Oabs(X2927,c_Groups_Ozero__class_Ozero(X2927)) = c_Groups_Ozero__class_Ozero(X2927) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__zero])]) ).

fof(i_0_2460,plain,
    ! [X5252,X5253] :
      ( ( X5253 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5253,X5252) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) )
      & ( X5252 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5253,X5252) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) )
      & ( X5253 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | X5252 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5253,X5252) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Complex__eq__1])])]) ).

fof(i_0_2461,plain,
    ! [X5248,X5249] :
      ( ( X5249 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5249,X5248) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
      & ( X5248 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5249,X5248) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
      & ( X5249 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X5248 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5249,X5248) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Complex__eq__0])])]) ).

fof(i_0_2462,plain,
    ! [X3016] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3016)
      | c_RealVector_Onorm__class_Onorm(X3016,c_Groups_Oone__class_Oone(X3016)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__one])]) ).

fof(i_0_2463,plain,
    ! [X3023] :
      ( ~ class_RealVector_Oreal__normed__vector(X3023)
      | c_RealVector_Onorm__class_Onorm(X3023,c_Groups_Ozero__class_Ozero(X3023)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__zero])]) ).

fof(i_0_2464,plain,
    ! [X4070] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X4070)) = X4070,
    inference(variable_rename,[status(thm)],[fact_natfloor__real__of__nat]) ).

fof(i_0_2465,plain,
    ! [X4069] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X4069)) = X4069,
    inference(variable_rename,[status(thm)],[fact_natceiling__real__of__nat]) ).

fof(i_0_2466,plain,
    ! [X4080] :
      ( ( c_RealDef_Oreal(tc_Nat_Onat,X4080) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X4080 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( X4080 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_RealDef_Oreal(tc_Nat_Onat,X4080) = 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_2467,plain,
    ! [X5250,X5251] :
      ( ( X5251 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5251,X5250) != c_Complex_Oii )
      & ( X5250 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5251,X5250) != c_Complex_Oii )
      & ( X5251 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
        | X5250 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
        | c_Complex_Ocomplex_OComplex(X5251,X5250) = c_Complex_Oii ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Complex__eq__i])])]) ).

fof(i_0_2468,plain,
    ! [X3028] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X3028) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3028),
    inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).

cnf(i_0_2469,plain,
    c_Complex_Ocis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[fact_cis__zero]) ).

fof(i_0_2470,plain,
    ! [X2924] :
      ( ~ class_Rings_Ozero__neq__one(X2924)
      | c_Groups_Oone__class_Oone(X2924) != c_Groups_Ozero__class_Ozero(X2924) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__neq__zero])]) ).

fof(i_0_2471,plain,
    ! [X2923] :
      ( ~ class_Rings_Ozero__neq__one(X2923)
      | c_Groups_Ozero__class_Ozero(X2923) != c_Groups_Oone__class_Oone(X2923) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__neq__one])]) ).

fof(i_0_2472,plain,
    ! [X4615] : c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4615) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(variable_rename,[status(thm)],[fact_rcis__zero__mod]) ).

fof(i_0_2473,plain,
    ! [X5418] :
      ( ~ class_Rings_Ocomm__ring(X5418)
      | class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X5418)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__ring])]) ).

fof(i_0_2474,plain,
    ! [X5417] :
      ( ~ class_Rings_Ocomm__semiring__0(X5417)
      | class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X5417)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__0])]) ).

fof(i_0_2475,plain,
    ! [X5416] :
      ( ~ class_Groups_Ocancel__comm__monoid__add(X5416)
      | class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X5416)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add])]) ).

fof(i_0_2476,plain,
    ! [X5415] :
      ( ~ class_Rings_Oidom(X5415)
      | class_Rings_Oidom(tc_Polynomial_Opoly(X5415)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oidom])]) ).

fof(i_0_2477,plain,
    ! [X5456] :
      ( ~ class_Fields_Ofield(X5456)
      | class_Divides_Osemiring__div(tc_Polynomial_Opoly(X5456)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Osemiring__div])]) ).

fof(i_0_2478,plain,
    ! [X5464] :
      ( ~ class_Rings_Ocomm__ring__1(X5464)
      | class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X5464)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__ring__1])]) ).

fof(i_0_2479,plain,
    ! [X5473] :
      ( ~ class_Rings_Ocomm__ring__1(X5473)
      | class_Rings_Oring__1(tc_Polynomial_Opoly(X5473)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__1])]) ).

fof(i_0_2480,plain,
    ! [X5458] :
      ( ~ class_Groups_Oab__group__add(X5458)
      | class_Groups_Oab__group__add(tc_Polynomial_Opoly(X5458)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__group__add])]) ).

fof(i_0_2481,plain,
    ! [X5476] :
      ( ~ class_Rings_Ocomm__ring(X5476)
      | class_Rings_Oring(tc_Polynomial_Opoly(X5476)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring])]) ).

fof(i_0_2482,plain,
    ! [X5467] :
      ( ~ class_Groups_Oab__group__add(X5467)
      | class_Groups_Ogroup__add(tc_Polynomial_Opoly(X5467)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ogroup__add])]) ).

fof(i_0_2483,plain,
    ! [X5442] :
      ( ~ class_Rings_Olinordered__idom(X5442)
      | class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X5442)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__group__add])]) ).

fof(i_0_2484,plain,
    ! [X5466] :
      ( ~ class_Rings_Ocomm__semiring__0(X5466)
      | class_Rings_Osemiring__0(tc_Polynomial_Opoly(X5466)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring__0])]) ).

fof(i_0_2485,plain,
    ! [X5474] :
      ( ~ class_Rings_Ocomm__semiring__1(X5474)
      | class_Power_Opower(tc_Polynomial_Opoly(X5474)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Power_Opower])]) ).

fof(i_0_2486,plain,
    ! [X5436] :
      ( ~ class_Rings_Oidom(X5436)
      | class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X5436)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors])]) ).

fof(i_0_2487,plain,
    ! [X5441] :
      ( ~ class_Rings_Olinordered__idom(X5441)
      | class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X5441)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring__1])]) ).

fof(i_0_2488,plain,
    ! [X5450] :
      ( ~ class_Rings_Olinordered__idom(X5450)
      | class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X5450)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__ring__abs])]) ).

fof(i_0_2489,plain,
    ! [X5444] :
      ( ~ class_Rings_Olinordered__idom(X5444)
      | class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X5444)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring])]) ).

fof(i_0_2490,plain,
    ! [X5430] :
      ( ~ class_Rings_Olinordered__idom(X5430)
      | class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X5430)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict])]) ).

fof(i_0_2491,plain,
    ! [X5428] :
      ( ~ class_Rings_Olinordered__idom(X5428)
      | class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X5428)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict])]) ).

fof(i_0_2492,plain,
    ! [X5453] :
      ( ~ class_Rings_Olinordered__idom(X5453)
      | class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X5453)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__ring])]) ).

fof(i_0_2493,plain,
    ! [X5438] :
      ( ~ class_Rings_Olinordered__idom(X5438)
      | class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X5438)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__ring__strict])]) ).

fof(i_0_2494,plain,
    ! [X5440] :
      ( ~ class_Rings_Olinordered__idom(X5440)
      | class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X5440)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__comm__semiring])]) ).

fof(i_0_2495,plain,
    ! [X5449] :
      ( ~ class_Rings_Olinordered__idom(X5449)
      | class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X5449)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__semiring])]) ).

fof(i_0_2496,plain,
    ! [X5460] :
      ( ~ class_Rings_Olinordered__idom(X5460)
      | class_Rings_Oordered__ring(tc_Polynomial_Opoly(X5460)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__ring])]) ).

fof(i_0_2497,plain,
    ! [X5437] :
      ( ~ class_Rings_Olinordered__idom(X5437)
      | class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X5437)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring])]) ).

fof(i_0_2498,plain,
    ! [X5472] :
      ( ~ class_Rings_Olinordered__idom(X5472)
      | class_Groups_Osgn__if(tc_Polynomial_Opoly(X5472)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Osgn__if])]) ).

fof(i_0_2499,plain,
    ! [X5463] :
      ( ~ class_Rings_Ocomm__semiring__1(X5463)
      | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X5463)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__mult])]) ).

fof(i_0_2500,plain,
    ! [X5447] :
      ( ~ class_Rings_Ocomm__semiring__1(X5447)
      | class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X5447)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult])]) ).

fof(i_0_2501,plain,
    ! [X5457] :
      ( ~ class_Rings_Ocomm__semiring__0(X5457)
      | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X5457)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring])]) ).

fof(i_0_2502,plain,
    ! [X5470] :
      ( ~ class_Rings_Ocomm__semiring__0(X5470)
      | class_Rings_Osemiring(tc_Polynomial_Opoly(X5470)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring])]) ).

fof(i_0_2503,plain,
    ! [X5468] :
      ( ~ class_Rings_Ocomm__semiring__0(X5468)
      | class_Rings_Omult__zero(tc_Polynomial_Opoly(X5468)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Omult__zero])]) ).

fof(i_0_2504,plain,
    ! [X5439] :
      ( ~ class_Rings_Oidom(X5439)
      | class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X5439)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors])]) ).

fof(i_0_2505,plain,
    ! [X5451] :
      ( ~ class_Rings_Oidom(X5451)
      | class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X5451)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ono__zero__divisors])]) ).

fof(i_0_2506,plain,
    ! [X5446] :
      ( ~ class_Rings_Ocomm__semiring__0(X5446)
      | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X5446)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__semigroup__mult])]) ).

fof(i_0_2507,plain,
    ! [X5429] :
      ( ~ class_Rings_Olinordered__idom(X5429)
      | class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X5429)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict])]) ).

fof(i_0_2508,plain,
    ! [X5425] :
      ( ~ class_Rings_Oidom(X5425)
      | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X5425)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct])]) ).

fof(i_0_2509,plain,
    ! [X5455] :
      ( ~ class_Rings_Ocomm__semiring__1(X5455)
      | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X5455)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])]) ).

fof(i_0_2510,plain,
    ! [X5469] :
      ( ~ class_Rings_Olinordered__idom(X5469)
      | class_Orderings_Oorder(tc_Polynomial_Opoly(X5469)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Oorder])]) ).

fof(i_0_2511,plain,
    ! [X5462] :
      ( ~ class_Rings_Olinordered__idom(X5462)
      | class_Orderings_Olinorder(tc_Polynomial_Opoly(X5462)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Olinorder])]) ).

fof(i_0_2512,plain,
    ! [X5471] :
      ( ~ class_Rings_Olinordered__idom(X5471)
      | class_Orderings_Oord(tc_Polynomial_Opoly(X5471)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Oord])]) ).

fof(i_0_2513,plain,
    ! [X5461] :
      ( ~ class_Rings_Olinordered__idom(X5461)
      | class_Orderings_Opreorder(tc_Polynomial_Opoly(X5461)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Opreorder])]) ).

fof(i_0_2514,plain,
    ! [X5459] :
      ( ~ class_Rings_Ocomm__semiring__1(X5459)
      | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X5459)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ozero__neq__one])]) ).

fof(i_0_2515,plain,
    ! [X5426] :
      ( ~ class_Rings_Olinordered__idom(X5426)
      | class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X5426)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add])]) ).

fof(i_0_2516,plain,
    ! [X5431] :
      ( ~ class_Rings_Olinordered__idom(X5431)
      | class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X5431)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add])]) ).

fof(i_0_2517,plain,
    ! [X5427] :
      ( ~ class_Rings_Olinordered__idom(X5427)
      | class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X5427)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le])]) ).

fof(i_0_2518,plain,
    ! [X5434] :
      ( ~ class_Rings_Olinordered__idom(X5434)
      | class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X5434)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add])]) ).

fof(i_0_2519,plain,
    ! [X5465] :
      ( ~ class_Groups_Ocomm__monoid__add(X5465)
      | class_Groups_Omonoid__add(tc_Polynomial_Opoly(X5465)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__add])]) ).

fof(i_0_2520,plain,
    ! [X5452] :
      ( ~ class_Groups_Ocomm__monoid__add(X5452)
      | class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X5452)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocomm__monoid__add])]) ).

fof(i_0_2521,plain,
    ! [X5477] :
      ( ~ class_Rings_Ocomm__semiring__1(X5477)
      | class_Groups_Oone(tc_Polynomial_Opoly(X5477)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oone])]) ).

fof(i_0_2522,plain,
    ! [X5448] :
      ( ~ class_Groups_Ocomm__monoid__add(X5448)
      | class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X5448)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__semigroup__add])]) ).

fof(i_0_2523,plain,
    ! [X5435] :
      ( ~ class_Groups_Ocancel__comm__monoid__add(X5435)
      | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X5435)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add])]) ).

fof(i_0_2524,plain,
    ! [X5443] :
      ( ~ class_Groups_Ocancel__comm__monoid__add(X5443)
      | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X5443)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add])]) ).

fof(i_0_2525,plain,
    ! [X5454] :
      ( ~ class_Rings_Olinordered__idom(X5454)
      | class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X5454)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__idom])]) ).

fof(i_0_2526,plain,
    ! [X5475] :
      ( ~ class_Groups_Ozero(X5475)
      | class_Groups_Ozero(tc_Polynomial_Opoly(X5475)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ozero])]) ).

fof(i_0_2527,plain,
    ! [X5432] :
      ( ~ class_Rings_Olinordered__idom(X5432)
      | class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X5432)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs])]) ).

fof(i_0_2528,plain,
    ! [X5433] :
      ( ~ class_Rings_Olinordered__idom(X5433)
      | class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X5433)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add])]) ).

fof(i_0_2529,plain,
    ! [X5445] :
      ( ~ class_Rings_Olinordered__idom(X5445)
      | class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X5445)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semidom])]) ).

cnf(i_0_2530,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(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,X3))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1460]),
    [final] ).

cnf(i_0_2531,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X5))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(X2,X3),hAPP(X2,esk67_4(X2,X3,X4,X1))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X5))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_Orderings_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1461]),
    [final] ).

cnf(i_0_2532,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)),X5)),X6))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1462]),
    [final] ).

cnf(i_0_2533,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)),X5)),X6))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1463]),
    [final] ).

cnf(i_0_2534,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X2))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1464]),
    [final] ).

cnf(i_0_2535,plain,
    c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,esk4_0)))),
    inference(split_conjunct,[status(thm)],[i_0_1465]),
    [final] ).

cnf(i_0_2536,plain,
    c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
    inference(split_conjunct,[status(thm)],[fact_g_I2_J]),
    [final] ).

cnf(i_0_2537,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1466]),
    [final] ).

cnf(i_0_2538,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1467]),
    [final] ).

cnf(i_0_2539,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3)),X4)),X6))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1462]),
    [final] ).

cnf(i_0_2540,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3)),X4)),X6))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1463]),
    [final] ).

cnf(i_0_2541,plain,
    ( c_SEQ_OBseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk35_4(X3,X2,X4,X1)))),X3))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1468]),
    [final] ).

cnf(i_0_2542,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X4)),X2)),X3)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1466]),
    [final] ).

cnf(i_0_2543,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X4)),X2)),X3)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1467]),
    [final] ).

cnf(i_0_2544,plain,
    ( c_SEQ_OBseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OBseq(X1,c_COMBB(tc_Nat_Onat,X1,tc_Nat_Onat,X2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1469]),
    [final] ).

cnf(i_0_2545,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)),X6)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X3,X4)),X5)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1470]),
    [final] ).

cnf(i_0_2546,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)),X6)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X3,X4)),X5)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1471]),
    [final] ).

cnf(i_0_2547,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X1),X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk2_4(X3,X2,X4,X1))),hAPP(X3,esk2_4(X3,X2,X4,X1))))
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1472]),
    [final] ).

cnf(i_0_2548,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)),X4)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1473]),
    [final] ).

cnf(i_0_2549,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)),X4)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1474]),
    [final] ).

cnf(i_0_2550,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3)),X6)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1470]),
    [final] ).

cnf(i_0_2551,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3)),X6)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1471]),
    [final] ).

cnf(i_0_2552,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X1,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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_1475]),
    [final] ).

cnf(i_0_2553,plain,
    ( c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X4)),c_Groups_Ominus__class_Ominus(X1,X3,X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X4)),X5))),hAPP(hAPP(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_1476]),
    [final] ).

cnf(i_0_2554,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X1)),X2)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1473]),
    [final] ).

cnf(i_0_2555,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X1)),X2)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1474]),
    [final] ).

cnf(i_0_2556,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),esk54_2(X2,X1)),X2))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(split_conjunct,[status(thm)],[i_0_1477]),
    [final] ).

cnf(i_0_2557,plain,
    ( c_SEQ_Oconvergent(X1,c_COMBS(tc_Nat_Onat,X1,X1,c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ c_SEQ_Oconvergent(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1478]),
    [final] ).

cnf(i_0_2558,plain,
    ( c_SEQ_Oconvergent(X1,c_COMBS(tc_Nat_Onat,X1,X1,c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ c_SEQ_Oconvergent(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1479]),
    [final] ).

cnf(i_0_2559,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))),hAPP(hAPP(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_1480]),
    [final] ).

cnf(i_0_2560,plain,
    ( c_SEQ_Oconvergent(X1,c_COMBC(tc_Nat_Onat,X1,X1,c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__field(X1)
    | ~ c_SEQ_Oconvergent(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1481]),
    [final] ).

cnf(i_0_2561,plain,
    ( c_SEQ_Oconvergent(X1,c_COMBC(tc_Nat_Onat,X1,X1,c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | ~ c_SEQ_Oconvergent(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1482]),
    [final] ).

cnf(i_0_2562,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))),hAPP(hAPP(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_1483]),
    [final] ).

cnf(i_0_2563,plain,
    ( c_SEQ_OBseq(X1,c_COMBB(tc_Nat_Onat,X1,tc_Nat_Onat,X2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3)))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OBseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1484]),
    [final] ).

cnf(i_0_2564,plain,
    c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
    inference(split_conjunct,[status(thm)],[fact_conv1]),
    [final] ).

cnf(i_0_2565,plain,
    c_SEQ_Omonoseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
    inference(split_conjunct,[status(thm)],[fact_f_I2_J]),
    [final] ).

cnf(i_0_2566,plain,
    hBOOL(hAPP(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,X1,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1),hAPP(c_Complex_ORe,X2)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1),hAPP(c_Complex_OIm,X2)))))),
    inference(split_conjunct,[status(thm)],[i_0_1485]),
    [final] ).

cnf(i_0_2567,plain,
    ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))),X6) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Ominus__class_Ominus(X1,X3,X5)),X6))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Ominus__class_Ominus(X1,X2,X4)),X6)),X5))
    | ~ class_RealVector_Oreal__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1486]),
    [final] ).

cnf(i_0_2568,negated_conjecture,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1487]),
    [final] ).

cnf(i_0_2569,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X3),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1488]),
    [final] ).

cnf(i_0_2570,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1489]),
    [final] ).

cnf(i_0_2571,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,X4))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk41_2(X3,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk40_3(X3,X2,X1)))),X1)) ),
    inference(rw,[status(thm)],[i_0_1490,c_0_1491]),
    [final] ).

cnf(i_0_2572,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,X4))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk37_2(X3,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk36_3(X3,X2,X1)))),X1)) ),
    inference(rw,[status(thm)],[i_0_1492,c_0_1491]),
    [final] ).

cnf(i_0_2573,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1493,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2574,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1494,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2575,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(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_1495]),
    [final] ).

cnf(i_0_2576,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(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_1495]),
    [final] ).

cnf(i_0_2577,plain,
    ( ~ class_Rings_Olinordered__ring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3))),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1496]),
    [final] ).

cnf(i_0_2578,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X2)))
    | ~ hBOOL(hAPP(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_1497]),
    [final] ).

cnf(i_0_2579,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),esk43_2(X2,X1)))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk42_3(X2,X1,X4)))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1498,c_0_1491]),
    [final] ).

cnf(i_0_2580,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),esk39_2(X2,X1)))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk38_3(X2,X1,X4)))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1499,c_0_1491]),
    [final] ).

cnf(i_0_2581,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5)),X6)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5)),X6)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X3),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X6))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1500]),
    [final] ).

cnf(i_0_2582,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(split_conjunct,[status(thm)],[i_0_1501]),
    [final] ).

cnf(i_0_2583,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk43_2(X1,X2)))
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk42_3(X1,X2,X3)))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1502,c_0_1491]),
    [final] ).

cnf(i_0_2584,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk39_2(X1,X2)))
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk38_3(X1,X2,X3)))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1503,c_0_1491]),
    [final] ).

cnf(i_0_2585,plain,
    ( c_SEQ_OBseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk53_3(X2,X1,X3)))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1504,c_0_1491]),
    [final] ).

cnf(i_0_2586,plain,
    ( c_SEQ_OBseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk51_3(X2,X1,X3)))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1505,c_0_1491]),
    [final] ).

cnf(i_0_2587,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk58_2(X1,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(rw,[status(thm)],[i_0_1506,c_0_1491]),
    [final] ).

cnf(i_0_2588,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | hBOOL(hAPP(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,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | hBOOL(hAPP(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,c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_1507]),
    [final] ).

cnf(i_0_2589,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X6),X4))),X3))
    | ~ class_Rings_Olinordered__semiring__1__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X6))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),X6) != c_Groups_Oone__class_Oone(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1508]),
    [final] ).

cnf(i_0_2590,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X6),X4))),X3))
    | ~ class_Rings_Olinordered__semiring__1(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X6))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),X6) != c_Groups_Oone__class_Oone(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1509]),
    [final] ).

cnf(i_0_2591,plain,
    ( c_SEQ_OBseq(X1,X3)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X3,esk31_3(X3,X2,X1)))),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1510]),
    [final] ).

cnf(i_0_2592,plain,
    ( c_SEQ_OBseq(X2,X3)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X3,esk28_3(X3,X2,X1)))),X1))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1511]),
    [final] ).

cnf(i_0_2593,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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_1512]),
    [final] ).

cnf(i_0_2594,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1513]),
    [final] ).

cnf(i_0_2595,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X5)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X3)),X4),X5)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1514]),
    [final] ).

cnf(i_0_2596,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X3)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1515]),
    [final] ).

cnf(i_0_2597,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))),esk63_1(X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1516]),
    [final] ).

cnf(i_0_2598,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))),esk24_1(X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1517]),
    [final] ).

cnf(i_0_2599,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))),esk17_1(X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1518]),
    [final] ).

cnf(i_0_2600,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),hAPP(hAPP(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_1519,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2601,plain,
    ( c_SEQ_Omonoseq(X1,X2)
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk48_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(X2,esk48_2(X2,X1)))) ),
    inference(rw,[status(thm)],[i_0_1520,c_0_1491]),
    [final] ).

cnf(i_0_2602,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1521,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2603,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1522,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2604,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(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_1495]),
    [final] ).

cnf(i_0_2605,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X5))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5)),X6)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5)),X6)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X6),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1523]),
    [final] ).

cnf(i_0_2606,plain,
    ( hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk71_3(X2,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
    inference(rw,[status(thm)],[i_0_1524,c_0_1491]),
    [final] ).

cnf(i_0_2607,plain,
    ( c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1525,c_0_1491]),c_0_1491]),c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2608,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk71_3(X2,X1,X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
    inference(rw,[status(thm)],[i_0_1526,c_0_1491]),
    [final] ).

cnf(i_0_2609,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),hAPP(c_Complex_ORe,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),hAPP(c_Complex_OIm,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),hAPP(c_Complex_OIm,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),hAPP(c_Complex_ORe,X2)))),
    inference(split_conjunct,[status(thm)],[i_0_1527]),
    [final] ).

cnf(i_0_2610,plain,
    ( c_SEQ_Oconvergent(X1,c_COMBB(X1,X1,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | ~ c_SEQ_Oconvergent(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1528]),
    [final] ).

cnf(i_0_2611,plain,
    hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[i_0_1529]),
    [final] ).

cnf(i_0_2612,plain,
    hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X4,X6),X5),
    inference(split_conjunct,[status(thm)],[i_0_1530]),
    [final] ).

cnf(i_0_2613,plain,
    hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X4,hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[i_0_1531]),
    [final] ).

cnf(i_0_2614,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3))))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | X3 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1532]),
    [final] ).

cnf(i_0_2615,plain,
    ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X1))
    | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1533]),
    [final] ).

cnf(i_0_2616,plain,
    ( c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X1))
    | ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1534]),
    [final] ).

cnf(i_0_2617,plain,
    ( hBOOL(hAPP(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_1535]),
    [final] ).

cnf(i_0_2618,plain,
    hBOOL(hAPP(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,hAPP(hAPP(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_1536]),
    [final] ).

cnf(i_0_2619,plain,
    ( hBOOL(hAPP(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_1537]),
    [final] ).

cnf(i_0_2620,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X4,X2))),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1538]),
    [final] ).

cnf(i_0_2621,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(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)],[inference(rw,[status(thm)],[i_0_1539,c_0_1491]),c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2622,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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)],[inference(rw,[status(thm)],[i_0_1540,c_0_1491]),c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2623,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(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_1541]),
    [final] ).

cnf(i_0_2624,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X5)),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X5)),X6)
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(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_1542]),
    [final] ).

cnf(i_0_2625,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4) != X5
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1543]),
    [final] ).

cnf(i_0_2626,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4)),X5)
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)),X4)),X5)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1544]),
    [final] ).

cnf(i_0_2627,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X2))),esk68_3(X4,X3,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1545]),
    [final] ).

cnf(i_0_2628,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X1))),esk68_3(X2,X3,X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1545]),
    [final] ).

cnf(i_0_2629,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1512]),
    [final] ).

cnf(i_0_2630,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4))
    | ~ hBOOL(hAPP(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_1538]),
    [final] ).

cnf(i_0_2631,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)))),
    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_1547]),c_0_1547]),c_0_1548]),c_0_1548]),c_0_1548]),
    [final] ).

cnf(i_0_2632,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),
    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_1547]),c_0_1547]),c_0_1548]),c_0_1548]),c_0_1548]),
    [final] ).

cnf(i_0_2633,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))))),
    inference(split_conjunct,[status(thm)],[i_0_1550]),
    [final] ).

cnf(i_0_2634,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),esk67_4(X3,X2,X1,X4)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,hAPP(X3,X5))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X4,hAPP(X3,X2)))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X5))
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1461]),
    [final] ).

cnf(i_0_2635,plain,
    hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)))),
    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_1547]),c_0_1547]),c_0_1547]),c_0_1548]),c_0_1548]),
    [final] ).

cnf(i_0_2636,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(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_1552]),
    [final] ).

cnf(i_0_2637,plain,
    ( hBOOL(hAPP(X4,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)))
    | ~ hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1553,c_0_1491]),
    [final] ).

cnf(i_0_2638,plain,
    ( c_SEQ_Omonoseq(X1,X2)
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk47_2(X2,X1))),hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk47_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1554,c_0_1491]),
    [final] ).

cnf(i_0_2639,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(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_1538]),
    [final] ).

cnf(i_0_2640,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3)),X4) = X6
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1541]),
    [final] ).

cnf(i_0_2641,plain,
    ( X4 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3)),X6)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1542]),
    [final] ).

cnf(i_0_2642,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,esk58_2(X1,X2))),X2)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1282]),
    [final] ).

cnf(i_0_2643,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X4))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)))
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X4)),X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_1555]),
    [final] ).

cnf(i_0_2644,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X3),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1556]),
    [final] ).

cnf(i_0_2645,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X4)),X2)),X3) = X5
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1543]),
    [final] ).

cnf(i_0_2646,plain,
    ( X3 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X1)),X2)),X5)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1544]),
    [final] ).

cnf(i_0_2647,plain,
    ( X2 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1557,c_0_1491]),
    [final] ).

cnf(i_0_2648,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1558,c_0_1547]),c_0_1547]),c_0_1548]),c_0_1548]),
    [final] ).

cnf(i_0_2649,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(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_1559,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2650,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(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_1560,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2651,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X5)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)
    | ~ class_Rings_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1561]),
    [final] ).

cnf(i_0_2652,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_1562,c_0_1491]),c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2653,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Oone__class_Oone(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1563]),
    [final] ).

cnf(i_0_2654,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X5)))
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X4)),X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_1564]),
    [final] ).

cnf(i_0_2655,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3),X5)))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X4)),X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_1565]),
    [final] ).

cnf(i_0_2656,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk71_3(X1,X2,X3))),X2))
    | hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1285]),
    [final] ).

cnf(i_0_2657,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk71_3(X1,X2,X3))),X2))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1285]),
    [final] ).

cnf(i_0_2658,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3)),hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(X2,X4)))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_SEQ_Omonoseq(X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1566,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2659,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk73_3(X1,X2,X3))),esk74_3(X1,X2,X3))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2660,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)),X4),
    inference(split_conjunct,[status(thm)],[i_0_1568]),
    [final] ).

cnf(i_0_2661,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(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)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Oone__class_Oone(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(rw,[status(thm)],[i_0_1569,c_0_1491]),
    [final] ).

cnf(i_0_2662,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1570,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2663,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1571,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2664,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Oone__class_Oone(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(rw,[status(thm)],[i_0_1572,c_0_1491]),
    [final] ).

cnf(i_0_2665,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk73_3(X1,X2,X3))),esk74_3(X1,X2,X3))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2666,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))),hAPP(hAPP(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_1573]),
    [final] ).

cnf(i_0_2667,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3))))
    | ~ class_Rings_Olinordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1532]),
    [final] ).

cnf(i_0_2668,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1))))
    | ~ class_Rings_Olinordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1532]),
    [final] ).

cnf(i_0_2669,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3))))
    | ~ class_Rings_Olinordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1574]),
    [final] ).

cnf(i_0_2670,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))),hAPP(hAPP(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_1575]),
    [final] ).

cnf(i_0_2671,plain,
    hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1576,c_0_1547]),c_0_1547]),c_0_1547]),c_0_1548]),c_0_1548]),
    [final] ).

cnf(i_0_2672,plain,
    hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1577,c_0_1547]),c_0_1547]),c_0_1547]),c_0_1548]),c_0_1548]),
    [final] ).

cnf(i_0_2673,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))),hAPP(hAPP(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_1578]),
    [final] ).

cnf(i_0_2674,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2))) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1579,c_0_1547]),c_0_1547]),c_0_1548]),c_0_1548]),c_0_1548]),
    [final] ).

cnf(i_0_2675,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),esk61_2(X3,X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1580]),
    [final] ).

cnf(i_0_2676,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),esk25_2(X3,X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1581]),
    [final] ).

cnf(i_0_2677,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),esk16_2(X3,X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1582]),
    [final] ).

cnf(i_0_2678,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(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_1583]),
    [final] ).

cnf(i_0_2679,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk62_2(X2,X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1584]),
    [final] ).

cnf(i_0_2680,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk26_2(X2,X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1585]),
    [final] ).

cnf(i_0_2681,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk18_2(X2,X1))))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1586]),
    [final] ).

cnf(i_0_2682,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))),hAPP(hAPP(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_1587]),
    [final] ).

cnf(i_0_2683,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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_1588,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2684,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2)))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1589]),
    [final] ).

cnf(i_0_2685,plain,
    ( c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ominus__class_Ominus(X1,X3,X5))),hAPP(hAPP(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_1590]),
    [final] ).

cnf(i_0_2686,plain,
    c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1591,c_0_1291]),c_0_1291]),c_0_1291]),c_0_1491]),
    [final] ).

cnf(i_0_2687,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1592]),
    [final] ).

cnf(i_0_2688,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)))),
    inference(split_conjunct,[status(thm)],[i_0_1593]),
    [final] ).

cnf(i_0_2689,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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_1594]),
    [final] ).

cnf(i_0_2690,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1595]),
    [final] ).

cnf(i_0_2691,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1596]),
    [final] ).

cnf(i_0_2692,plain,
    ( hBOOL(hAPP(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_1597]),
    [final] ).

cnf(i_0_2693,plain,
    ( hBOOL(hAPP(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_1598]),
    [final] ).

cnf(i_0_2694,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(rw,[status(thm)],[i_0_1599,c_0_1491]),
    [final] ).

cnf(i_0_2695,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))),hAPP(hAPP(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_1600]),
    [final] ).

cnf(i_0_2696,plain,
    ( hBOOL(hAPP(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_1601]),
    [final] ).

cnf(i_0_2697,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk73_3(X1,X2,X3))),esk74_3(X1,X2,X3))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2698,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X1,X2,X3)),X2))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2699,plain,
    ( hBOOL(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1602]),
    [final] ).

cnf(i_0_2700,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Rings_Olinordered__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1603]),
    [final] ).

cnf(i_0_2701,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1604]),
    [final] ).

cnf(i_0_2702,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1605]),
    [final] ).

cnf(i_0_2703,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Rings_Olinordered__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1606]),
    [final] ).

cnf(i_0_2704,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1607]),
    [final] ).

cnf(i_0_2705,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ hBOOL(hAPP(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_1608]),
    [final] ).

cnf(i_0_2706,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1609]),
    [final] ).

cnf(i_0_2707,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1610]),
    [final] ).

cnf(i_0_2708,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ hBOOL(hAPP(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_1611]),
    [final] ).

cnf(i_0_2709,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)))
    | ~ hBOOL(hAPP(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_1612]),
    [final] ).

cnf(i_0_2710,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))) ),
    inference(split_conjunct,[status(thm)],[i_0_1613]),
    [final] ).

cnf(i_0_2711,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))) ),
    inference(split_conjunct,[status(thm)],[i_0_1614]),
    [final] ).

cnf(i_0_2712,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)))
    | ~ hBOOL(hAPP(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_1615]),
    [final] ).

cnf(i_0_2713,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ hBOOL(hAPP(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_1616]),
    [final] ).

cnf(i_0_2714,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ hBOOL(hAPP(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_1617]),
    [final] ).

cnf(i_0_2715,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk73_3(X1,X2,X3))),esk74_3(X1,X2,X3))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2716,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X1,X2,X3)),X2))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2717,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1618]),
    [final] ).

cnf(i_0_2718,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1619]),
    [final] ).

cnf(i_0_2719,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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_1620]),
    [final] ).

cnf(i_0_2720,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1621]),
    [final] ).

cnf(i_0_2721,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1622]),
    [final] ).

cnf(i_0_2722,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1623]),
    [final] ).

cnf(i_0_2723,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1624]),
    [final] ).

cnf(i_0_2724,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1625]),
    [final] ).

cnf(i_0_2725,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1626]),
    [final] ).

cnf(i_0_2726,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1619]),
    [final] ).

cnf(i_0_2727,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1618]),
    [final] ).

cnf(i_0_2728,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,esk66_1(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X1))
    | ~ hBOOL(hAPP(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_1627]),
    [final] ).

cnf(i_0_2729,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1628]),
    [final] ).

cnf(i_0_2730,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1618]),
    [final] ).

cnf(i_0_2731,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1619]),
    [final] ).

cnf(i_0_2732,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1619]),
    [final] ).

cnf(i_0_2733,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1618]),
    [final] ).

cnf(i_0_2734,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk52_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OBseq(X1,X2) ),
    inference(rw,[status(thm)],[i_0_1629,c_0_1491]),
    [final] ).

cnf(i_0_2735,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk50_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OBseq(X1,X2) ),
    inference(rw,[status(thm)],[i_0_1630,c_0_1491]),
    [final] ).

cnf(i_0_2736,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,esk73_3(X1,X2,X3)))
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2737,plain,
    ( X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),esk73_3(X2,X3,X1))),esk74_3(X2,X3,X1))
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2738,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(X2))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(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_1631]),
    [final] ).

cnf(i_0_2739,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X1,X2)),c_Complex_Ocomplex_OComplex(X3,X4)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3))),
    inference(split_conjunct,[status(thm)],[i_0_1632]),
    [final] ).

cnf(i_0_2740,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,esk73_3(X1,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2741,plain,
    ( X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),esk73_3(X2,X3,X1))),esk74_3(X2,X3,X1))
    | X3 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2742,plain,
    ( c_SEQ_Osubseq(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,esk49_1(X1))),hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk49_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(rw,[status(thm)],[i_0_1633,c_0_1491]),
    [final] ).

cnf(i_0_2743,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1634]),
    [final] ).

cnf(i_0_2744,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1635]),
    [final] ).

cnf(i_0_2745,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1636]),
    [final] ).

cnf(i_0_2746,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1637]),
    [final] ).

cnf(i_0_2747,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1638]),
    [final] ).

cnf(i_0_2748,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1639]),
    [final] ).

cnf(i_0_2749,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1640]),
    [final] ).

cnf(i_0_2750,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1641]),
    [final] ).

cnf(i_0_2751,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1642]),
    [final] ).

cnf(i_0_2752,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1643]),
    [final] ).

cnf(i_0_2753,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1644]),
    [final] ).

cnf(i_0_2754,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4))) ),
    inference(split_conjunct,[status(thm)],[i_0_1645]),
    [final] ).

cnf(i_0_2755,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1646]),
    [final] ).

cnf(i_0_2756,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1647]),
    [final] ).

cnf(i_0_2757,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1648]),
    [final] ).

cnf(i_0_2758,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4))) ),
    inference(split_conjunct,[status(thm)],[i_0_1649]),
    [final] ).

cnf(i_0_2759,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X1,X2,X3)))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2760,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk73_3(X2,X1,X3))),esk74_3(X2,X1,X3))
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2761,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_1650,c_0_1491]),
    [final] ).

cnf(i_0_2762,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))),X4)
    | ~ class_Groups_Omonoid__mult(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(rw,[status(thm)],[i_0_1651,c_0_1491]),
    [final] ).

cnf(i_0_2763,plain,
    ( X1 = X2
    | X3 = X4
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5) ),
    inference(split_conjunct,[status(thm)],[i_0_1652]),
    [final] ).

cnf(i_0_2764,plain,
    ( X2 = X4
    | X3 = X5
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1653]),
    [final] ).

cnf(i_0_2765,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1654]),
    [final] ).

cnf(i_0_2766,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),c_Groups_Oone__class_Oone(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1655]),
    [final] ).

cnf(i_0_2767,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),c_Groups_Oone__class_Oone(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1656]),
    [final] ).

cnf(i_0_2768,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X1,X2,X3)),X2))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2769,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X1,X2,X3)))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2770,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk73_3(X2,X1,X3))),esk74_3(X2,X1,X3))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2771,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(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_1657,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2772,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(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_1658,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2773,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(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_1659,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2774,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1660]),
    [final] ).

cnf(i_0_2775,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1661]),
    [final] ).

cnf(i_0_2776,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1662]),
    [final] ).

cnf(i_0_2777,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),esk35_4(X2,X3,X1,X4)))
    | c_SEQ_OBseq(X4,X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[i_0_1468]),
    [final] ).

cnf(i_0_2778,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X1,X2,X3)),X2))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2779,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1595]),
    [final] ).

cnf(i_0_2780,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1596]),
    [final] ).

cnf(i_0_2781,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))),X1))
    | ~ hBOOL(hAPP(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_1663]),
    [final] ).

cnf(i_0_2782,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1664]),
    [final] ).

cnf(i_0_2783,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1665]),
    [final] ).

cnf(i_0_2784,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),esk69_3(X2,X1,X3))),esk70_3(X2,X1,X3))
    | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_2785,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1665]),
    [final] ).

cnf(i_0_2786,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1664]),
    [final] ).

cnf(i_0_2787,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1667]),
    [final] ).

cnf(i_0_2788,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1668]),
    [final] ).

cnf(i_0_2789,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(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_1669]),
    [final] ).

cnf(i_0_2790,plain,
    ( c_RComplete_Onatceiling(X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),hAPP(hAPP(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_1670]),
    [final] ).

cnf(i_0_2791,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_1671]),
    [final] ).

cnf(i_0_2792,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,esk73_3(X1,X2,X3)))
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2793,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),esk69_3(X2,X1,X3))),esk70_3(X2,X1,X3))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_2794,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1672]),
    [final] ).

cnf(i_0_2795,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1661]),
    [final] ).

cnf(i_0_2796,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1618]),
    [final] ).

cnf(i_0_2797,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1673]),
    [final] ).

cnf(i_0_2798,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1619]),
    [final] ).

cnf(i_0_2799,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1674]),
    [final] ).

cnf(i_0_2800,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ class_Rings_Olinordered__comm__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1675]),
    [final] ).

cnf(i_0_2801,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(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_1608]),
    [final] ).

cnf(i_0_2802,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1676]),
    [final] ).

cnf(i_0_2803,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1677]),
    [final] ).

cnf(i_0_2804,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(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_1611]),
    [final] ).

cnf(i_0_2805,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1678]),
    [final] ).

cnf(i_0_2806,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))
    | ~ class_Rings_Oordered__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1679]),
    [final] ).

cnf(i_0_2807,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_1671]),
    [final] ).

cnf(i_0_2808,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_1671]),
    [final] ).

cnf(i_0_2809,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X2,X3,X1)),X3))
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2810,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1680]),
    [final] ).

cnf(i_0_2811,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1681]),
    [final] ).

cnf(i_0_2812,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,esk59_2(X1,X2))),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1682]),
    [final] ).

cnf(i_0_2813,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1594]),
    [final] ).

cnf(i_0_2814,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1683]),
    [final] ).

cnf(i_0_2815,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(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_1612]),
    [final] ).

cnf(i_0_2816,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1)),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1684]),
    [final] ).

cnf(i_0_2817,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(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_1615]),
    [final] ).

cnf(i_0_2818,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rw,[status(thm)],[i_0_1685,c_0_1491]),
    [final] ).

cnf(i_0_2819,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rw,[status(thm)],[i_0_1686,c_0_1491]),
    [final] ).

cnf(i_0_2820,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_1671]),
    [final] ).

cnf(i_0_2821,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(rw,[status(thm)],[i_0_1687,c_0_1491]),
    [final] ).

cnf(i_0_2822,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X2))
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Oone__class_Oone(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1688]),
    [final] ).

cnf(i_0_2823,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),X2))
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Oone__class_Oone(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1689]),
    [final] ).

cnf(i_0_2824,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1618]),
    [final] ).

cnf(i_0_2825,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1690]),
    [final] ).

cnf(i_0_2826,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1619]),
    [final] ).

cnf(i_0_2827,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(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_1616]),
    [final] ).

cnf(i_0_2828,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1691]),
    [final] ).

cnf(i_0_2829,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1692]),
    [final] ).

cnf(i_0_2830,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(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_1617]),
    [final] ).

cnf(i_0_2831,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1693]),
    [final] ).

cnf(i_0_2832,plain,
    ( c_RComplete_Onatfloor(X2) = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),hAPP(hAPP(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_1694]),
    [final] ).

cnf(i_0_2833,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1695]),
    [final] ).

cnf(i_0_2834,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2835,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X5)))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_1696]),
    [final] ).

cnf(i_0_2836,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X5)))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_1697]),
    [final] ).

cnf(i_0_2837,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X5)))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_1698]),
    [final] ).

cnf(i_0_2838,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X5)))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_1699]),
    [final] ).

cnf(i_0_2839,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1700]),
    [final] ).

cnf(i_0_2840,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1701]),
    [final] ).

cnf(i_0_2841,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk73_3(X2,X1,X3))),esk74_3(X2,X1,X3))
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2842,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,esk73_3(X1,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2843,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1702]),
    [final] ).

cnf(i_0_2844,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X2,X3,X1)),X3))
    | X3 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2845,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(rw,[status(thm)],[i_0_1703,c_0_1491]),
    [final] ).

cnf(i_0_2846,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(rw,[status(thm)],[i_0_1704,c_0_1491]),
    [final] ).

cnf(i_0_2847,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1705]),
    [final] ).

cnf(i_0_2848,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1706]),
    [final] ).

cnf(i_0_2849,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),hAPP(hAPP(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_1707]),
    [final] ).

cnf(i_0_2850,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X5))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1708]),
    [final] ).

cnf(i_0_2851,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X1,X2,X3)))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2852,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X1) = X4
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
    | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4)),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1709]),
    [final] ).

cnf(i_0_2853,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1710,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2854,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1711,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2855,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(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_1712]),
    [final] ).

cnf(i_0_2856,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(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_1713]),
    [final] ).

cnf(i_0_2857,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk75_3(X1,X2,X3))),esk76_3(X1,X2,X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2858,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X2,X1,X3)),X1))
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2859,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk73_3(X2,X1,X3))),esk74_3(X2,X1,X3))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2860,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(split_conjunct,[status(thm)],[i_0_1714]),
    [final] ).

cnf(i_0_2861,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1715]),
    [final] ).

cnf(i_0_2862,plain,
    hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(X3,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),
    inference(rw,[status(thm)],[i_0_1716,c_0_1491]),
    [final] ).

cnf(i_0_2863,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X2)
    | ~ class_Groups_Omonoid__mult(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1717]),
    [final] ).

cnf(i_0_2864,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1669]),
    [final] ).

cnf(i_0_2865,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(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_1718]),
    [final] ).

cnf(i_0_2866,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(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_1719]),
    [final] ).

cnf(i_0_2867,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_1720]),
    [final] ).

cnf(i_0_2868,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(X5,X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4)),X2)
    | ~ hBOOL(hAPP(X5,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_2869,plain,
    ( c_SEQ_Oincseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk29_2(X2,X1))),hAPP(X2,esk30_2(X2,X1))))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1721]),
    [final] ).

cnf(i_0_2870,plain,
    ( c_SEQ_Odecseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk22_2(X2,X1))),hAPP(X2,esk21_2(X2,X1))))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1722]),
    [final] ).

cnf(i_0_2871,plain,
    ( c_SEQ_Omonoseq(X1,X2)
    | ~ hBOOL(hAPP(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_1723]),
    [final] ).

cnf(i_0_2872,plain,
    ( c_SEQ_Omonoseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk5_2(X2,X1))),hAPP(X2,esk6_2(X2,X1))))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1723]),
    [final] ).

cnf(i_0_2873,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2))
    | ~ hBOOL(hAPP(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_1695]),
    [final] ).

cnf(i_0_2874,plain,
    ( epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,esk73_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2875,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1724]),
    [final] ).

cnf(i_0_2876,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1664]),
    [final] ).

cnf(i_0_2877,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1725]),
    [final] ).

cnf(i_0_2878,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1665]),
    [final] ).

cnf(i_0_2879,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1635]),
    [final] ).

cnf(i_0_2880,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1726]),
    [final] ).

cnf(i_0_2881,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1727]),
    [final] ).

cnf(i_0_2882,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1636]),
    [final] ).

cnf(i_0_2883,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1638]),
    [final] ).

cnf(i_0_2884,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1640]),
    [final] ).

cnf(i_0_2885,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1641]),
    [final] ).

cnf(i_0_2886,plain,
    ( hBOOL(hAPP(X5,X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
    | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4)),X2)
    | ~ epred1_3(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2887,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X1,X4)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1728]),
    [final] ).

cnf(i_0_2888,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2)) ),
    inference(rw,[status(thm)],[i_0_1729,c_0_1491]),
    [final] ).

cnf(i_0_2889,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X1,X2,X3)))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2890,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(rw,[status(thm)],[i_0_1730,c_0_1548]),
    [final] ).

cnf(i_0_2891,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(rw,[status(thm)],[i_0_1731,c_0_1547]),
    [final] ).

cnf(i_0_2892,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | X3 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(rw,[status(thm)],[i_0_1732,c_0_1491]),
    [final] ).

cnf(i_0_2893,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(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_1733]),
    [final] ).

cnf(i_0_2894,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(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_1734]),
    [final] ).

cnf(i_0_2895,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1735]),
    [final] ).

cnf(i_0_2896,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1736]),
    [final] ).

cnf(i_0_2897,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1737]),
    [final] ).

cnf(i_0_2898,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1738]),
    [final] ).

cnf(i_0_2899,plain,
    ( hBOOL(hAPP(X5,X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4)),X2)
    | ~ epred1_3(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2900,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X2,X1,X3)),X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2901,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)) ),
    inference(rw,[status(thm)],[i_0_1739,c_0_1491]),
    [final] ).

cnf(i_0_2902,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1740]),
    [final] ).

cnf(i_0_2903,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1642]),
    [final] ).

cnf(i_0_2904,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1741]),
    [final] ).

cnf(i_0_2905,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1644]),
    [final] ).

cnf(i_0_2906,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1742]),
    [final] ).

cnf(i_0_2907,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(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_1646]),
    [final] ).

cnf(i_0_2908,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1743]),
    [final] ).

cnf(i_0_2909,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | ~ hBOOL(hAPP(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_1648]),
    [final] ).

cnf(i_0_2910,plain,
    hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),hAPP(c_Complex_OIm,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),hAPP(c_Complex_ORe,X2))),
    inference(split_conjunct,[status(thm)],[i_0_1744]),
    [final] ).

cnf(i_0_2911,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(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
    | ~ hBOOL(hAPP(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_1745,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2912,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1746]),
    [final] ).

cnf(i_0_2913,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1747]),
    [final] ).

cnf(i_0_2914,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1748]),
    [final] ).

cnf(i_0_2915,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(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_1671]),
    [final] ).

cnf(i_0_2916,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(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_1671]),
    [final] ).

cnf(i_0_2917,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1749]),
    [final] ).

cnf(i_0_2918,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(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_1750]),
    [final] ).

cnf(i_0_2919,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1751]),
    [final] ).

cnf(i_0_2920,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(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_1750]),
    [final] ).

cnf(i_0_2921,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1752]),
    [final] ).

cnf(i_0_2922,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,esk73_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2923,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1753]),
    [final] ).

cnf(i_0_2924,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X3)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1754]),
    [final] ).

cnf(i_0_2925,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1755]),
    [final] ).

cnf(i_0_2926,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1756]),
    [final] ).

cnf(i_0_2927,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X1) = X4
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
    | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4)),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1709]),
    [final] ).

cnf(i_0_2928,plain,
    ( X2 = X4
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1757,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2929,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1758]),
    [final] ).

cnf(i_0_2930,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1759]),
    [final] ).

cnf(i_0_2931,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1760]),
    [final] ).

cnf(i_0_2932,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1761]),
    [final] ).

cnf(i_0_2933,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(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_1762]),
    [final] ).

cnf(i_0_2934,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)) ),
    inference(rw,[status(thm)],[i_0_1763,c_0_1491]),
    [final] ).

cnf(i_0_2935,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)) ),
    inference(rw,[status(thm)],[i_0_1764,c_0_1491]),
    [final] ).

cnf(i_0_2936,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)) ),
    inference(rw,[status(thm)],[i_0_1765,c_0_1491]),
    [final] ).

cnf(i_0_2937,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)) ),
    inference(rw,[status(thm)],[i_0_1766,c_0_1491]),
    [final] ).

cnf(i_0_2938,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)) ),
    inference(rw,[status(thm)],[i_0_1767,c_0_1491]),
    [final] ).

cnf(i_0_2939,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk70_3(X1,X2,X3)),X1))
    | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1)))
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_2940,plain,
    ( ~ class_Rings_Olinordered__ring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1768]),
    [final] ).

cnf(i_0_2941,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X2,X3,X1)))
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2942,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(rw,[status(thm)],[i_0_1769,c_0_1491]),
    [final] ).

cnf(i_0_2943,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,esk73_3(X2,X1,X3)))
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2944,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1770,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2945,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1771,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2946,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1772,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2947,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1773]),
    [final] ).

cnf(i_0_2948,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1774]),
    [final] ).

cnf(i_0_2949,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1775]),
    [final] ).

cnf(i_0_2950,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1776]),
    [final] ).

cnf(i_0_2951,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1777]),
    [final] ).

cnf(i_0_2952,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1672]),
    [final] ).

cnf(i_0_2953,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1778]),
    [final] ).

cnf(i_0_2954,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1680]),
    [final] ).

cnf(i_0_2955,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1779]),
    [final] ).

cnf(i_0_2956,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1780]),
    [final] ).

cnf(i_0_2957,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1781]),
    [final] ).

cnf(i_0_2958,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1782]),
    [final] ).

cnf(i_0_2959,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1783]),
    [final] ).

cnf(i_0_2960,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1783]),
    [final] ).

cnf(i_0_2961,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1784]),
    [final] ).

cnf(i_0_2962,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1785]),
    [final] ).

cnf(i_0_2963,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X1) = X4
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X3 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4)),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1709]),
    [final] ).

cnf(i_0_2964,plain,
    ( X2 = X3
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1786,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_2965,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3)),hAPP(X2,X4)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X6)),hAPP(X2,X5)))
    | ~ c_SEQ_Omonoseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),X6))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1723]),
    [final] ).

cnf(i_0_2966,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk70_3(X1,X2,X3)),X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_2967,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X2,X3,X1)))
    | X3 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2968,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk55_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(rw,[status(thm)],[i_0_1787,c_0_1491]),
    [final] ).

cnf(i_0_2969,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1788]),
    [final] ).

cnf(i_0_2970,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1789]),
    [final] ).

cnf(i_0_2971,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1667]),
    [final] ).

cnf(i_0_2972,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1790]),
    [final] ).

cnf(i_0_2973,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1637]),
    [final] ).

cnf(i_0_2974,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1791]),
    [final] ).

cnf(i_0_2975,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1639]),
    [final] ).

cnf(i_0_2976,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1792]),
    [final] ).

cnf(i_0_2977,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1793]),
    [final] ).

cnf(i_0_2978,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1668]),
    [final] ).

cnf(i_0_2979,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1794]),
    [final] ).

cnf(i_0_2980,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,esk73_3(X2,X1,X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2981,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X5)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X4))
    | X1 != X2
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1652]),
    [final] ).

cnf(i_0_2982,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X5)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X4))
    | X1 != X2
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1653]),
    [final] ).

cnf(i_0_2983,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1795]),
    [final] ).

cnf(i_0_2984,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1796]),
    [final] ).

cnf(i_0_2985,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1797]),
    [final] ).

cnf(i_0_2986,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),
    inference(rw,[status(thm)],[i_0_1798,c_0_1491]),
    [final] ).

cnf(i_0_2987,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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_1799]),
    [final] ).

cnf(i_0_2988,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | epred1_3(X3,X2,X1)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2989,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),esk20_0))),
    inference(split_conjunct,[status(thm)],[i_0_1800]),
    [final] ).

cnf(i_0_2990,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),esk15_0))),
    inference(split_conjunct,[status(thm)],[i_0_1801]),
    [final] ).

cnf(i_0_2991,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),esk13_0))),
    inference(split_conjunct,[status(thm)],[i_0_1802]),
    [final] ).

cnf(i_0_2992,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),esk19_0))),
    inference(split_conjunct,[status(thm)],[i_0_1803]),
    [final] ).

cnf(i_0_2993,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),esk14_0))),
    inference(split_conjunct,[status(thm)],[i_0_1804]),
    [final] ).

cnf(i_0_2994,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),esk12_0))),
    inference(split_conjunct,[status(thm)],[i_0_1805]),
    [final] ).

cnf(i_0_2995,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1639]),
    [final] ).

cnf(i_0_2996,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1637]),
    [final] ).

cnf(i_0_2997,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X2,X1,X3)))
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_2998,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_1806,c_0_1491]),
    [final] ).

cnf(i_0_2999,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X2,X1,X3)),X1))
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3000,plain,
    ( hBOOL(hAPP(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,esk65_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1807]),
    [final] ).

cnf(i_0_3001,plain,
    ( hBOOL(hAPP(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,esk64_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1808]),
    [final] ).

cnf(i_0_3002,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1809]),
    [final] ).

cnf(i_0_3003,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1809]),
    [final] ).

cnf(i_0_3004,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1809]),
    [final] ).

cnf(i_0_3005,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1809]),
    [final] ).

cnf(i_0_3006,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(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_1810]),
    [final] ).

cnf(i_0_3007,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
    | ~ hBOOL(hAPP(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_1810]),
    [final] ).

cnf(i_0_3008,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1811]),
    [final] ).

cnf(i_0_3009,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)),
    inference(split_conjunct,[status(thm)],[i_0_1812]),
    [final] ).

cnf(i_0_3010,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2)),
    inference(split_conjunct,[status(thm)],[i_0_1813]),
    [final] ).

cnf(i_0_3011,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rw,[status(thm)],[i_0_1814,c_0_1491]),
    [final] ).

cnf(i_0_3012,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
    | ~ hBOOL(hAPP(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_1810]),
    [final] ).

cnf(i_0_3013,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1815]),
    [final] ).

cnf(i_0_3014,plain,
    ( hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(X1,esk69_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_3015,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(X1,esk65_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1807]),
    [final] ).

cnf(i_0_3016,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(X1,esk64_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1808]),
    [final] ).

cnf(i_0_3017,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1816]),
    [final] ).

cnf(i_0_3018,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X4),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3),X4))
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1817]),
    [final] ).

cnf(i_0_3019,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1707]),
    [final] ).

cnf(i_0_3020,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3))
    | X2 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1295]),
    [final] ).

cnf(i_0_3021,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(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_1718]),
    [final] ).

cnf(i_0_3022,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(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_1719]),
    [final] ).

cnf(i_0_3023,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(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_1720]),
    [final] ).

cnf(i_0_3024,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1712]),
    [final] ).

cnf(i_0_3025,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1713]),
    [final] ).

cnf(i_0_3026,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3027,plain,
    ( hBOOL(hAPP(X1,esk71_3(X2,X3,X1)))
    | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1285]),
    [final] ).

cnf(i_0_3028,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1818]),
    [final] ).

cnf(i_0_3029,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1819]),
    [final] ).

cnf(i_0_3030,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1820]),
    [final] ).

cnf(i_0_3031,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1821]),
    [final] ).

cnf(i_0_3032,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1822]),
    [final] ).

cnf(i_0_3033,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(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_1809]),
    [final] ).

cnf(i_0_3034,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(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_1823]),
    [final] ).

cnf(i_0_3035,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1824]),
    [final] ).

cnf(i_0_3036,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1825]),
    [final] ).

cnf(i_0_3037,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X2,X1,X3)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3038,plain,
    ( X2 = X4
    | ~ class_Rings_Olinordered__semidom(X1)
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1826]),
    [final] ).

cnf(i_0_3039,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X3)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
    | ~ class_Fields_Ofield(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1827]),
    [final] ).

cnf(i_0_3040,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X2,X1,X3)),X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3041,plain,
    ( c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(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_1828]),
    [final] ).

cnf(i_0_3042,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))) = hAPP(c_Complex_ORe,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1829,c_0_1291]),c_0_1548]),
    [final] ).

cnf(i_0_3043,plain,
    hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))) = hAPP(c_Complex_OIm,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1830,c_0_1291]),c_0_1547]),
    [final] ).

cnf(i_0_3044,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1831,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3045,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)),X4) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))
    | ~ class_Fields_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1832]),
    [final] ).

cnf(i_0_3046,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_1833]),
    [final] ).

cnf(i_0_3047,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(X1,esk69_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_3048,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1834]),
    [final] ).

cnf(i_0_3049,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2)),hAPP(X1,hAPP(hAPP(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_1835,c_0_1491]),
    [final] ).

cnf(i_0_3050,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1836]),
    [final] ).

cnf(i_0_3051,plain,
    ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1837]),
    [final] ).

cnf(i_0_3052,plain,
    ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1838]),
    [final] ).

cnf(i_0_3053,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1839]),
    [final] ).

cnf(i_0_3054,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))
    | ~ class_Groups_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1840]),
    [final] ).

cnf(i_0_3055,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1841]),
    [final] ).

cnf(i_0_3056,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Rings_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1842]),
    [final] ).

cnf(i_0_3057,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1843]),
    [final] ).

cnf(i_0_3058,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1844]),
    [final] ).

cnf(i_0_3059,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1845]),
    [final] ).

cnf(i_0_3060,plain,
    ( hBOOL(hAPP(X1,esk71_3(X2,X3,X1)))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1285]),
    [final] ).

cnf(i_0_3061,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1733]),
    [final] ).

cnf(i_0_3062,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1734]),
    [final] ).

cnf(i_0_3063,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1)))),
    inference(split_conjunct,[status(thm)],[i_0_1846]),
    [final] ).

cnf(i_0_3064,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1847]),
    [final] ).

cnf(i_0_3065,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(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_1809]),
    [final] ).

cnf(i_0_3066,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ class_Rings_Oordered__ring(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1848]),
    [final] ).

cnf(i_0_3067,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(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_1823]),
    [final] ).

cnf(i_0_3068,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1849]),
    [final] ).

cnf(i_0_3069,plain,
    hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),hAPP(c_Complex_ORe,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),hAPP(c_Complex_OIm,X2))),
    inference(split_conjunct,[status(thm)],[i_0_1850]),
    [final] ).

cnf(i_0_3070,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(X1,X2)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1851,c_0_1491]),
    [final] ).

cnf(i_0_3071,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1852]),
    [final] ).

cnf(i_0_3072,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)))
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1853]),
    [final] ).

cnf(i_0_3073,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),hAPP(hAPP(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_1854,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3074,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1855]),
    [final] ).

cnf(i_0_3075,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1856]),
    [final] ).

cnf(i_0_3076,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1856]),
    [final] ).

cnf(i_0_3077,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X4),X3))
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1817]),
    [final] ).

cnf(i_0_3078,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1857]),
    [final] ).

cnf(i_0_3079,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1858]),
    [final] ).

cnf(i_0_3080,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1859]),
    [final] ).

cnf(i_0_3081,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1860]),
    [final] ).

cnf(i_0_3082,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X2)))
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1861]),
    [final] ).

cnf(i_0_3083,plain,
    ( c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1862]),
    [final] ).

cnf(i_0_3084,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1)))),
    inference(split_conjunct,[status(thm)],[i_0_1863]),
    [final] ).

cnf(i_0_3085,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1)))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3086,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(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_1864]),
    [final] ).

cnf(i_0_3087,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(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_1864]),
    [final] ).

cnf(i_0_3088,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1762]),
    [final] ).

cnf(i_0_3089,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1865]),
    [final] ).

cnf(i_0_3090,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_1866,c_0_1491]),
    [final] ).

cnf(i_0_3091,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_1867,c_0_1491]),
    [final] ).

cnf(i_0_3092,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_1868,c_0_1491]),
    [final] ).

cnf(i_0_3093,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | epred1_3(X2,X1,X3)
    | ~ hBOOL(hAPP(X2,esk73_3(X3,X1,X2)))
    | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3094,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),c_Groups_Oone__class_Oone(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))
    | ~ hBOOL(hAPP(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_1869]),
    [final] ).

cnf(i_0_3095,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1811]),
    [final] ).

cnf(i_0_3096,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(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_1870]),
    [final] ).

cnf(i_0_3097,plain,
    ( c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),c_Groups_Oone__class_Oone(X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))),c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Oone__class_Oone(X1)))
    | ~ class_Rings_Oring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1871]),
    [final] ).

cnf(i_0_3098,plain,
    ( c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1862]),
    [final] ).

cnf(i_0_3099,plain,
    ( c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1862]),
    [final] ).

cnf(i_0_3100,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1872]),
    [final] ).

cnf(i_0_3101,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1816]),
    [final] ).

cnf(i_0_3102,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1815]),
    [final] ).

cnf(i_0_3103,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)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1873]),
    [final] ).

cnf(i_0_3104,plain,
    ( c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1862]),
    [final] ).

cnf(i_0_3105,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(split_conjunct,[status(thm)],[i_0_1874]),
    [final] ).

cnf(i_0_3106,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(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_1875,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3107,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(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_1876,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3108,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1877]),
    [final] ).

cnf(i_0_3109,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1878]),
    [final] ).

cnf(i_0_3110,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(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_1879]),
    [final] ).

cnf(i_0_3111,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(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_1880]),
    [final] ).

cnf(i_0_3112,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(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_1856]),
    [final] ).

cnf(i_0_3113,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1881]),
    [final] ).

cnf(i_0_3114,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1882,c_0_1491]),
    [final] ).

cnf(i_0_3115,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1883]),
    [final] ).

cnf(i_0_3116,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1884]),
    [final] ).

cnf(i_0_3117,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1885]),
    [final] ).

cnf(i_0_3118,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1886,c_0_1491]),
    [final] ).

cnf(i_0_3119,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk68_3(X1,X2,X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1545]),
    [final] ).

cnf(i_0_3120,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | ~ hBOOL(hAPP(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_1887]),
    [final] ).

cnf(i_0_3121,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(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_1888]),
    [final] ).

cnf(i_0_3122,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,X5)),hAPP(X4,X5)))
    | ~ class_Orderings_Oord(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1889]),
    [final] ).

cnf(i_0_3123,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,X5)),hAPP(X4,X5)))
    | ~ class_Orderings_Oord(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_1890]),
    [final] ).

cnf(i_0_3124,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(X3,X5)),hAPP(X4,X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3),X4))
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1472]),
    [final] ).

cnf(i_0_3125,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(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_1856]),
    [final] ).

cnf(i_0_3126,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X2),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(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_1856]),
    [final] ).

cnf(i_0_3127,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)) ),
    inference(rw,[status(thm)],[i_0_1891,c_0_1491]),
    [final] ).

cnf(i_0_3128,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),c_Divides_Odiv__class_Odiv(X1,X3,X2))
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1892]),
    [final] ).

cnf(i_0_3129,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),c_Divides_Odiv__class_Odiv(X1,X3,X2))
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1893]),
    [final] ).

cnf(i_0_3130,plain,
    ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4) = c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1894]),
    [final] ).

cnf(i_0_3131,plain,
    ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4) = c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1895]),
    [final] ).

cnf(i_0_3132,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4) = c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1896]),
    [final] ).

cnf(i_0_3133,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4) = c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1897]),
    [final] ).

cnf(i_0_3134,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Transcendental_Oln(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1898]),
    [final] ).

cnf(i_0_3135,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Transcendental_Oln(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1899]),
    [final] ).

cnf(i_0_3136,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
    | X3 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,esk75_3(X2,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3137,plain,
    ( hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(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_1807]),
    [final] ).

cnf(i_0_3138,plain,
    ( hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(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_1808]),
    [final] ).

cnf(i_0_3139,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk45_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(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_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3140,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X2),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(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_1856]),
    [final] ).

cnf(i_0_3141,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(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_1901]),
    [final] ).

cnf(i_0_3142,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) = hAPP(hAPP(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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1902,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3143,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X2,X1,X3)
    | ~ hBOOL(hAPP(X2,esk73_3(X3,X1,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3144,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1903]),
    [final] ).

cnf(i_0_3145,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1904]),
    [final] ).

cnf(i_0_3146,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1905]),
    [final] ).

cnf(i_0_3147,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1906]),
    [final] ).

cnf(i_0_3148,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1907]),
    [final] ).

cnf(i_0_3149,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(rw,[status(thm)],[i_0_1908,c_0_1491]),
    [final] ).

cnf(i_0_3150,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X3)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1909]),
    [final] ).

cnf(i_0_3151,plain,
    ( hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3),X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1910]),
    [final] ).

cnf(i_0_3152,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),X2) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),hAPP(c_Complex_ORe,X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),hAPP(c_Complex_OIm,X2))),
    inference(split_conjunct,[status(thm)],[i_0_1911]),
    [final] ).

cnf(i_0_3153,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk23_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1912]),
    [final] ).

cnf(i_0_3154,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1913]),
    [final] ).

cnf(i_0_3155,plain,
    ( hBOOL(hAPP(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)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1914]),
    [final] ).

cnf(i_0_3156,plain,
    ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X1,esk33_1(X1))),hAPP(X1,esk34_1(X1))))
    | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1915]),
    [final] ).

cnf(i_0_3157,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Transcendental_Oln(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1898]),
    [final] ).

cnf(i_0_3158,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Transcendental_Oln(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1899]),
    [final] ).

cnf(i_0_3159,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1877]),
    [final] ).

cnf(i_0_3160,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1877]),
    [final] ).

cnf(i_0_3161,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1916]),
    [final] ).

cnf(i_0_3162,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1917]),
    [final] ).

cnf(i_0_3163,plain,
    ( X1 = esk56_2(X3,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2) != X3
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1918]),
    [final] ).

cnf(i_0_3164,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)),hAPP(hAPP(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_1919]),
    [final] ).

cnf(i_0_3165,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X2)),hAPP(hAPP(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_1919]),
    [final] ).

cnf(i_0_3166,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X5 = X6
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | X3 != X4
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X6)) ),
    inference(split_conjunct,[status(thm)],[i_0_1920]),
    [final] ).

cnf(i_0_3167,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1921]),
    [final] ).

cnf(i_0_3168,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1922,c_0_1491]),
    [final] ).

cnf(i_0_3169,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1923,c_0_1491]),
    [final] ).

cnf(i_0_3170,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1924,c_0_1491]),
    [final] ).

cnf(i_0_3171,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1925,c_0_1491]),
    [final] ).

cnf(i_0_3172,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1926]),
    [final] ).

cnf(i_0_3173,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_1927,c_0_1491]),
    [final] ).

cnf(i_0_3174,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X2,X1,X3)))
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3175,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | ~ hBOOL(hAPP(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_1928]),
    [final] ).

cnf(i_0_3176,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)),X1)),
    inference(split_conjunct,[status(thm)],[i_0_1929]),
    [final] ).

cnf(i_0_3177,plain,
    hBOOL(hAPP(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_1930]),
    [final] ).

cnf(i_0_3178,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | epred1_3(X3,X1,X2)
    | ~ hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3179,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),X3) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1931]),
    [final] ).

cnf(i_0_3180,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1932]),
    [final] ).

cnf(i_0_3181,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1933]),
    [final] ).

cnf(i_0_3182,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)))
    | ~ hBOOL(hAPP(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_1852]),
    [final] ).

cnf(i_0_3183,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1934]),
    [final] ).

cnf(i_0_3184,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1935]),
    [final] ).

cnf(i_0_3185,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)))
    | ~ hBOOL(hAPP(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_1853]),
    [final] ).

cnf(i_0_3186,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X3),X4))
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1817]),
    [final] ).

cnf(i_0_3187,plain,
    ( c_SEQ_Osubseq(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,esk10_1(X1))),hAPP(X1,esk11_1(X1)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1936]),
    [final] ).

cnf(i_0_3188,plain,
    ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(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_1937]),
    [final] ).

cnf(i_0_3189,plain,
    ( hBOOL(hAPP(X4,X3))
    | X1 != hAPP(hAPP(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_1807]),
    [final] ).

cnf(i_0_3190,plain,
    ( hBOOL(hAPP(X4,X3))
    | X1 != hAPP(hAPP(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_1808]),
    [final] ).

cnf(i_0_3191,plain,
    ( c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1938]),
    [final] ).

cnf(i_0_3192,plain,
    ( c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X2),X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1939]),
    [final] ).

cnf(i_0_3193,plain,
    ( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X2),X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1940]),
    [final] ).

cnf(i_0_3194,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),esk32_2(X2,X1)))
    | ~ c_SEQ_OBseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1941]),
    [final] ).

cnf(i_0_3195,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3))),esk27_2(X2,X1)))
    | ~ c_SEQ_OBseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1511]),
    [final] ).

cnf(i_0_3196,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk65_3(X2,X1,X3))
    | hBOOL(hAPP(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_1807]),
    [final] ).

cnf(i_0_3197,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk64_3(X2,X1,X3))
    | hBOOL(hAPP(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_1808]),
    [final] ).

cnf(i_0_3198,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_1942,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3199,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1943,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3200,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(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_1944,c_0_1491]),
    [final] ).

cnf(i_0_3201,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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_1799]),
    [final] ).

cnf(i_0_3202,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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_1799]),
    [final] ).

cnf(i_0_3203,plain,
    ( X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk46_2(X2,X1))),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_1945,c_0_1491]),
    [final] ).

cnf(i_0_3204,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1946]),
    [final] ).

cnf(i_0_3205,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1947]),
    [final] ).

cnf(i_0_3206,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),
    inference(split_conjunct,[status(thm)],[i_0_1948]),
    [final] ).

cnf(i_0_3207,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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_1949]),
    [final] ).

cnf(i_0_3208,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk65_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_1807]),
    [final] ).

cnf(i_0_3209,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk64_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_1808]),
    [final] ).

cnf(i_0_3210,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X2)))
    | ~ hBOOL(hAPP(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_1928]),
    [final] ).

cnf(i_0_3211,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X2,X1,X3)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3212,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),c_Groups_Oone__class_Oone(X1))),X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1950]),
    [final] ).

cnf(i_0_3213,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X1,X3,X2)),c_Groups_Oone__class_Oone(X1))
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1951]),
    [final] ).

cnf(i_0_3214,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X1,X3,X2)),c_Groups_Oone__class_Oone(X1))
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1952]),
    [final] ).

cnf(i_0_3215,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3),X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1953]),
    [final] ).

cnf(i_0_3216,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[i_0_1954,c_0_1491]),
    [final] ).

cnf(i_0_3217,plain,
    ( c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1955]),
    [final] ).

cnf(i_0_3218,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ class_Power_Opower(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1956]),
    [final] ).

cnf(i_0_3219,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),esk76_3(X2,X1,X3)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3220,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3) != c_Groups_Ozero__class_Ozero(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X3))
    | ~ hBOOL(hAPP(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_1957]),
    [final] ).

cnf(i_0_3221,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1) != c_Groups_Ozero__class_Ozero(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
    | ~ hBOOL(hAPP(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_1957]),
    [final] ).

cnf(i_0_3222,plain,
    ( c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X1)),c_Transcendental_Oln(X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1958]),
    [final] ).

cnf(i_0_3223,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)))
    | ~ hBOOL(hAPP(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_1959]),
    [final] ).

cnf(i_0_3224,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_1960]),
    [final] ).

cnf(i_0_3225,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)))
    | ~ hBOOL(hAPP(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_1961]),
    [final] ).

cnf(i_0_3226,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(rw,[status(thm)],[i_0_1962,c_0_1548]),
    [final] ).

cnf(i_0_3227,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(rw,[status(thm)],[i_0_1963,c_0_1547]),
    [final] ).

cnf(i_0_3228,plain,
    ( epred1_3(X1,X3,X2)
    | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[i_0_1964]),
    [final] ).

cnf(i_0_3229,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1965]),
    [final] ).

cnf(i_0_3230,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ominus__class_Ominus(X1,X3,X4)) = c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1966]),
    [final] ).

cnf(i_0_3231,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ominus__class_Ominus(X1,X3,X4)) = c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1967]),
    [final] ).

cnf(i_0_3232,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1968]),
    [final] ).

cnf(i_0_3233,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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1),X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1969]),
    [final] ).

cnf(i_0_3234,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),X2))
    | ~ hBOOL(hAPP(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_1961]),
    [final] ).

cnf(i_0_3235,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk57_2(X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1970]),
    [final] ).

cnf(i_0_3236,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk56_2(X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1918]),
    [final] ).

cnf(i_0_3237,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(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_1971]),
    [final] ).

cnf(i_0_3238,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1972]),
    [final] ).

cnf(i_0_3239,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Groups_Oab__semigroup__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1973]),
    [final] ).

cnf(i_0_3240,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1974]),
    [final] ).

cnf(i_0_3241,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1975]),
    [final] ).

cnf(i_0_3242,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Groups_Oab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1976]),
    [final] ).

cnf(i_0_3243,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1977]),
    [final] ).

cnf(i_0_3244,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1978]),
    [final] ).

cnf(i_0_3245,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1979]),
    [final] ).

cnf(i_0_3246,plain,
    ( hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_3247,plain,
    ( hAPP(hAPP(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)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X3))
    | ~ hBOOL(hAPP(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_1957]),
    [final] ).

cnf(i_0_3248,plain,
    ( hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1887]),
    [final] ).

cnf(i_0_3249,plain,
    ( hBOOL(hAPP(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))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1888]),
    [final] ).

cnf(i_0_3250,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1980]),
    [final] ).

cnf(i_0_3251,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1981]),
    [final] ).

cnf(i_0_3252,plain,
    ( hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2),X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1982]),
    [final] ).

cnf(i_0_3253,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(rw,[status(thm)],[i_0_1983,c_0_1491]),
    [final] ).

cnf(i_0_3254,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(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_1491]),
    [final] ).

cnf(i_0_3255,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(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_1985]),
    [final] ).

cnf(i_0_3256,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(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_1986]),
    [final] ).

cnf(i_0_3257,plain,
    ( c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))) = hAPP(hAPP(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_1987]),
    [final] ).

cnf(i_0_3258,plain,
    ( hAPP(hAPP(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
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(rw,[status(thm)],[i_0_1988,c_0_1491]),
    [final] ).

cnf(i_0_3259,plain,
    ( X1 = hAPP(hAPP(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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(rw,[status(thm)],[i_0_1989,c_0_1491]),
    [final] ).

cnf(i_0_3260,plain,
    ( X1 = X3
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1990]),
    [final] ).

cnf(i_0_3261,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1913]),
    [final] ).

cnf(i_0_3262,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1914]),
    [final] ).

cnf(i_0_3263,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1855]),
    [final] ).

cnf(i_0_3264,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1855]),
    [final] ).

cnf(i_0_3265,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)))
    | ~ hBOOL(hAPP(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_1991]),
    [final] ).

cnf(i_0_3266,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4)) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4)
    | ~ class_Groups_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1992]),
    [final] ).

cnf(i_0_3267,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1993]),
    [final] ).

cnf(i_0_3268,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(split_conjunct,[status(thm)],[i_0_1994]),
    [final] ).

cnf(i_0_3269,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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_1995]),
    [final] ).

cnf(i_0_3270,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),v_r)),
    inference(split_conjunct,[status(thm)],[fact__096cmod_A_Is_A0_J_A_060_061_Ar_096]),
    [final] ).

cnf(i_0_3271,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
    inference(split_conjunct,[status(thm)],[i_0_1996]),
    [final] ).

cnf(i_0_3272,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
    inference(split_conjunct,[status(thm)],[i_0_1997]),
    [final] ).

cnf(i_0_3273,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),X2) = c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1998]),
    [final] ).

cnf(i_0_3274,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | X1 != X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rw,[status(thm)],[i_0_1999,c_0_1491]),
    [final] ).

cnf(i_0_3275,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(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_2000]),
    [final] ).

cnf(i_0_3276,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | ~ hBOOL(hAPP(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_2001]),
    [final] ).

cnf(i_0_3277,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | ~ hBOOL(hAPP(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_2001]),
    [final] ).

cnf(i_0_3278,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | ~ hBOOL(hAPP(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_2002]),
    [final] ).

cnf(i_0_3279,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | ~ hBOOL(hAPP(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_2002]),
    [final] ).

cnf(i_0_3280,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))),X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2003]),
    [final] ).

cnf(i_0_3281,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2004]),
    [final] ).

cnf(i_0_3282,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2005,c_0_1547]),c_0_1548]),
    [final] ).

cnf(i_0_3283,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1921]),
    [final] ).

cnf(i_0_3284,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1926]),
    [final] ).

cnf(i_0_3285,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_2006,c_0_1491]),
    [final] ).

cnf(i_0_3286,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_2007,c_0_1491]),
    [final] ).

cnf(i_0_3287,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_2008,c_0_1491]),
    [final] ).

cnf(i_0_3288,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_2009,c_0_1491]),
    [final] ).

cnf(i_0_3289,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_2010,c_0_1491]),
    [final] ).

cnf(i_0_3290,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rw,[status(thm)],[i_0_2011,c_0_1491]),
    [final] ).

cnf(i_0_3291,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3)),hAPP(X2,X4)))
    | ~ c_SEQ_Oincseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1721]),
    [final] ).

cnf(i_0_3292,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X4)),hAPP(X2,X3)))
    | ~ c_SEQ_Odecseq(X1,X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1722]),
    [final] ).

cnf(i_0_3293,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(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_1864]),
    [final] ).

cnf(i_0_3294,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2012]),
    [final] ).

cnf(i_0_3295,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2013]),
    [final] ).

cnf(i_0_3296,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2014]),
    [final] ).

cnf(i_0_3297,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2015]),
    [final] ).

cnf(i_0_3298,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_2016]),
    [final] ).

cnf(i_0_3299,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(X1,X2)),X3) = c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X3)),X2)),
    inference(split_conjunct,[status(thm)],[i_0_2017]),
    [final] ).

cnf(i_0_3300,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X3)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2018]),
    [final] ).

cnf(i_0_3301,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2019]),
    [final] ).

cnf(i_0_3302,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2)),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2020]),
    [final] ).

cnf(i_0_3303,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(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_2021,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3304,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2012]),
    [final] ).

cnf(i_0_3305,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2014]),
    [final] ).

cnf(i_0_3306,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk57_2(X1,X2)),X2) = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1970]),
    [final] ).

cnf(i_0_3307,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk56_2(X1,X2)),X2) = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1918]),
    [final] ).

cnf(i_0_3308,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2022]),
    [final] ).

cnf(i_0_3309,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2023]),
    [final] ).

cnf(i_0_3310,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2024]),
    [final] ).

cnf(i_0_3311,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2025]),
    [final] ).

cnf(i_0_3312,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2026]),
    [final] ).

cnf(i_0_3313,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2027]),
    [final] ).

cnf(i_0_3314,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2028]),
    [final] ).

cnf(i_0_3315,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2029]),
    [final] ).

cnf(i_0_3316,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2004]),
    [final] ).

cnf(i_0_3317,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(split_conjunct,[status(thm)],[i_0_2030]),
    [final] ).

cnf(i_0_3318,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X1) = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2031]),
    [final] ).

cnf(i_0_3319,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),
    inference(rw,[status(thm)],[i_0_2032,c_0_1491]),
    [final] ).

cnf(i_0_3320,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_2033,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3321,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Osgn__class_Osgn(X1,X2)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2034]),
    [final] ).

cnf(i_0_3322,plain,
    hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_2035]),
    [final] ).

cnf(i_0_3323,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2036]),
    [final] ).

cnf(i_0_3324,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2037]),
    [final] ).

cnf(i_0_3325,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2038]),
    [final] ).

cnf(i_0_3326,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2039]),
    [final] ).

cnf(i_0_3327,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2040]),
    [final] ).

cnf(i_0_3328,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2041]),
    [final] ).

cnf(i_0_3329,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2)),hAPP(X1,X3)))
    | ~ c_SEQ_Osubseq(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_1936]),
    [final] ).

cnf(i_0_3330,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,esk55_1(X1))),X1))
    | ~ hBOOL(hAPP(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_1340]),
    [final] ).

cnf(i_0_3331,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))),X1))
    | ~ hBOOL(hAPP(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_2042]),
    [final] ).

cnf(i_0_3332,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(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_1980]),
    [final] ).

cnf(i_0_3333,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2043]),
    [final] ).

cnf(i_0_3334,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_2044]),
    [final] ).

cnf(i_0_3335,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_2045]),
    [final] ).

cnf(i_0_3336,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_2046]),
    [final] ).

cnf(i_0_3337,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2047]),
    [final] ).

cnf(i_0_3338,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2048]),
    [final] ).

cnf(i_0_3339,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2049]),
    [final] ).

cnf(i_0_3340,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_2050]),
    [final] ).

cnf(i_0_3341,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2051]),
    [final] ).

cnf(i_0_3342,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(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_2052,c_0_1491]),
    [final] ).

cnf(i_0_3343,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
    inference(split_conjunct,[status(thm)],[i_0_2053]),
    [final] ).

cnf(i_0_3344,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | X1 != hAPP(hAPP(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_2054,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3345,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(rw,[status(thm)],[i_0_2055,c_0_1491]),
    [final] ).

cnf(i_0_3346,plain,
    ( X3 = X4
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)
    | ~ hBOOL(hAPP(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_2056]),
    [final] ).

cnf(i_0_3347,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2057]),
    [final] ).

cnf(i_0_3348,plain,
    ( c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),X2)
    | ~ hBOOL(hAPP(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_2058]),
    [final] ).

cnf(i_0_3349,plain,
    ( c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X1)),X2)
    | ~ hBOOL(hAPP(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_2059]),
    [final] ).

cnf(i_0_3350,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))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2060]),
    [final] ).

cnf(i_0_3351,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X1,X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(rw,[status(thm)],[i_0_2061,c_0_1491]),
    [final] ).

cnf(i_0_3352,plain,
    ( hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),esk23_2(X2,X3)))
    | ~ hBOOL(hAPP(X3,X1))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1912]),
    [final] ).

cnf(i_0_3353,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Osgn__class_Osgn(X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2034]),
    [final] ).

cnf(i_0_3354,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1985]),
    [final] ).

cnf(i_0_3355,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1986]),
    [final] ).

cnf(i_0_3356,plain,
    ( c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_Transcendental_Oln(X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2062]),
    [final] ).

cnf(i_0_3357,plain,
    ( hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oarccos(X1))) = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(rw,[status(thm)],[i_0_2063,c_0_1548]),
    [final] ).

cnf(i_0_3358,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)),hAPP(hAPP(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_1919]),
    [final] ).

cnf(i_0_3359,plain,
    ( hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(rw,[status(thm)],[i_0_2064,c_0_1548]),
    [final] ).

cnf(i_0_3360,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2),c_Complex_Ocomplex_OComplex(X3,X4)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X3),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X4)),
    inference(split_conjunct,[status(thm)],[i_0_2065]),
    [final] ).

cnf(i_0_3361,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4)) = c_Divides_Odiv__class_Odiv(X2,X3,X4)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2066]),
    [final] ).

cnf(i_0_3362,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)) = c_Divides_Odiv__class_Odiv(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2067]),
    [final] ).

cnf(i_0_3363,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)) = c_Divides_Odiv__class_Odiv(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2068]),
    [final] ).

cnf(i_0_3364,plain,
    ( hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X2)))
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1964]),
    [final] ).

cnf(i_0_3365,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ hBOOL(hAPP(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_2069]),
    [final] ).

cnf(i_0_3366,plain,
    ( ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ hBOOL(hAPP(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_2070]),
    [final] ).

cnf(i_0_3367,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)))
    | ~ class_Rings_Olinordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2071]),
    [final] ).

cnf(i_0_3368,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(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_2072]),
    [final] ).

cnf(i_0_3369,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(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) = hAPP(hAPP(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_2073,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3370,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X1,X2)),c_Complex_Orcis(X3,X4)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X2),X4)),
    inference(split_conjunct,[status(thm)],[i_0_2074]),
    [final] ).

cnf(i_0_3371,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X1,X2)),c_Complex_Ocomplex_OComplex(X3,X4)) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X2),X4)),
    inference(split_conjunct,[status(thm)],[i_0_2075]),
    [final] ).

cnf(i_0_3372,plain,
    ( hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
    inference(rw,[status(thm)],[i_0_2076,c_0_1548]),
    [final] ).

cnf(i_0_3373,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2077]),
    [final] ).

cnf(i_0_3374,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2078]),
    [final] ).

cnf(i_0_3375,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2079]),
    [final] ).

cnf(i_0_3376,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2080]),
    [final] ).

cnf(i_0_3377,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2081]),
    [final] ).

cnf(i_0_3378,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2082]),
    [final] ).

cnf(i_0_3379,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2083]),
    [final] ).

cnf(i_0_3380,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1318]),
    [final] ).

cnf(i_0_3381,plain,
    ( c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(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_2084]),
    [final] ).

cnf(i_0_3382,plain,
    ( c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(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_2085]),
    [final] ).

cnf(i_0_3383,plain,
    ( c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(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_2086]),
    [final] ).

cnf(i_0_3384,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_2087]),
    [final] ).

cnf(i_0_3385,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(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_2088,c_0_1491]),
    [final] ).

cnf(i_0_3386,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
    | ~ class_Power_Opower(X1) ),
    inference(rw,[status(thm)],[i_0_2089,c_0_1491]),
    [final] ).

cnf(i_0_3387,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(rw,[status(thm)],[i_0_2090,c_0_1491]),
    [final] ).

cnf(i_0_3388,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(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_2091,c_0_1491]),
    [final] ).

cnf(i_0_3389,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),X2) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2092,c_0_1291]),c_0_1291]),
    [final] ).

cnf(i_0_3390,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2082]),
    [final] ).

cnf(i_0_3391,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2093]),
    [final] ).

cnf(i_0_3392,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ hBOOL(hAPP(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_2094]),
    [final] ).

cnf(i_0_3393,plain,
    ( hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1285]),
    [final] ).

cnf(i_0_3394,plain,
    ( hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_1666]),
    [final] ).

cnf(i_0_3395,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2095]),
    [final] ).

cnf(i_0_3396,plain,
    ( c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(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_2096]),
    [final] ).

cnf(i_0_3397,plain,
    ( c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(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_2097]),
    [final] ).

cnf(i_0_3398,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2),X3),
    inference(split_conjunct,[status(thm)],[i_0_2098]),
    [final] ).

cnf(i_0_3399,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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2099]),
    [final] ).

cnf(i_0_3400,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(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_2100]),
    [final] ).

cnf(i_0_3401,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(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_2101]),
    [final] ).

cnf(i_0_3402,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(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_2102,c_0_1491]),
    [final] ).

cnf(i_0_3403,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(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_2103,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3404,plain,
    ( X1 = X2
    | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2104]),
    [final] ).

cnf(i_0_3405,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) ),
    inference(split_conjunct,[status(thm)],[i_0_2105]),
    [final] ).

cnf(i_0_3406,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2106]),
    [final] ).

cnf(i_0_3407,plain,
    ( X2 = X3
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2107]),
    [final] ).

cnf(i_0_3408,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),hAPP(hAPP(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_2108]),
    [final] ).

cnf(i_0_3409,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),hAPP(hAPP(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_2109]),
    [final] ).

cnf(i_0_3410,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,esk66_1(X1))))
    | ~ hBOOL(hAPP(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_1627]),
    [final] ).

cnf(i_0_3411,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | epred1_3(X2,X1,X3)
    | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3412,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X1) = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2110]),
    [final] ).

cnf(i_0_3413,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X1) = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2111]),
    [final] ).

cnf(i_0_3414,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rw,[status(thm)],[i_0_2112,c_0_1491]),
    [final] ).

cnf(i_0_3415,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk60_2(X1,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_1384]),
    [final] ).

cnf(i_0_3416,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) = hAPP(hAPP(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 != hAPP(hAPP(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 != hAPP(hAPP(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_2113,c_0_1491]),c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3417,plain,
    ( c_Divides_Odiv__class_Odiv(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4)) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2066]),
    [final] ).

cnf(i_0_3418,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),
    inference(rw,[status(thm)],[i_0_2114,c_0_1491]),
    [final] ).

cnf(i_0_3419,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2115]),
    [final] ).

cnf(i_0_3420,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ hBOOL(hAPP(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_2116]),
    [final] ).

cnf(i_0_3421,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(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_2117]),
    [final] ).

cnf(i_0_3422,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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_1913]),
    [final] ).

cnf(i_0_3423,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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_1914]),
    [final] ).

cnf(i_0_3424,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(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_2118,c_0_1491]),
    [final] ).

cnf(i_0_3425,plain,
    ( hAPP(hAPP(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_2119]),
    [final] ).

cnf(i_0_3426,plain,
    ~ hBOOL(hAPP(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_2120]),
    [final] ).

cnf(i_0_3427,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2101]),
    [final] ).

cnf(i_0_3428,plain,
    ( X2 = hAPP(hAPP(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 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2121,c_0_1491]),c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3429,plain,
    ( X2 = hAPP(hAPP(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 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != hAPP(hAPP(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_2122,c_0_1491]),c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3430,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_1965]),
    [final] ).

cnf(i_0_3431,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2123]),
    [final] ).

cnf(i_0_3432,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),
    inference(split_conjunct,[status(thm)],[i_0_2124]),
    [final] ).

cnf(i_0_3433,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(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_1921]),
    [final] ).

cnf(i_0_3434,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(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_2125,c_0_1491]),
    [final] ).

cnf(i_0_3435,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2126]),
    [final] ).

cnf(i_0_3436,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2127]),
    [final] ).

cnf(i_0_3437,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rw,[status(thm)],[i_0_2128,c_0_1491]),
    [final] ).

cnf(i_0_3438,plain,
    ( X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2129]),
    [final] ).

cnf(i_0_3439,plain,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2130]),
    [final] ).

cnf(i_0_3440,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2131]),
    [final] ).

cnf(i_0_3441,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2132]),
    [final] ).

cnf(i_0_3442,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2133]),
    [final] ).

cnf(i_0_3443,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2134]),
    [final] ).

cnf(i_0_3444,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2135]),
    [final] ).

cnf(i_0_3445,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2136]),
    [final] ).

cnf(i_0_3446,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2137]),
    [final] ).

cnf(i_0_3447,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2138]),
    [final] ).

cnf(i_0_3448,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2139]),
    [final] ).

cnf(i_0_3449,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2140]),
    [final] ).

cnf(i_0_3450,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2141]),
    [final] ).

cnf(i_0_3451,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2095]),
    [final] ).

cnf(i_0_3452,plain,
    ( ~ hBOOL(hAPP(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_2142]),
    [final] ).

cnf(i_0_3453,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk23_2(X1,X2)),X1))
    | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_1912]),
    [final] ).

cnf(i_0_3454,plain,
    hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2143,c_0_1291]),c_0_1291]),c_0_1291]),
    [final] ).

cnf(i_0_3455,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2082]),
    [final] ).

cnf(i_0_3456,plain,
    hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2,
    inference(split_conjunct,[status(thm)],[i_0_2144]),
    [final] ).

cnf(i_0_3457,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1))),
    inference(split_conjunct,[status(thm)],[i_0_2145]),
    [final] ).

cnf(i_0_3458,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))),
    inference(split_conjunct,[status(thm)],[i_0_2146]),
    [final] ).

cnf(i_0_3459,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(split_conjunct,[status(thm)],[i_0_2147]),
    [final] ).

cnf(i_0_3460,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2082]),
    [final] ).

cnf(i_0_3461,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)) = hAPP(hAPP(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_2148]),
    [final] ).

cnf(i_0_3462,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk29_2(X1,X2)),esk30_2(X1,X2)))
    | c_SEQ_Oincseq(X2,X1)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1721]),
    [final] ).

cnf(i_0_3463,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk21_2(X1,X2)),esk22_2(X1,X2)))
    | c_SEQ_Odecseq(X2,X1)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1722]),
    [final] ).

cnf(i_0_3464,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk7_2(X1,X2)),esk8_2(X1,X2)))
    | c_SEQ_Omonoseq(X2,X1)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1723]),
    [final] ).

cnf(i_0_3465,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk5_2(X1,X2)),esk6_2(X1,X2)))
    | c_SEQ_Omonoseq(X2,X1)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1723]),
    [final] ).

cnf(i_0_3466,plain,
    ( c_Groups_Osgn__class_Osgn(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Osgn__class_Osgn(X1,X3))
    | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2149]),
    [final] ).

cnf(i_0_3467,plain,
    ( c_Groups_Osgn__class_Osgn(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Osgn__class_Osgn(X1,X3))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2150]),
    [final] ).

cnf(i_0_3468,plain,
    ( c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(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_2151]),
    [final] ).

cnf(i_0_3469,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)) = hAPP(hAPP(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_2152]),
    [final] ).

cnf(i_0_3470,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != X3
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2153]),
    [final] ).

cnf(i_0_3471,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(split_conjunct,[status(thm)],[i_0_2154]),
    [final] ).

cnf(i_0_3472,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2082]),
    [final] ).

cnf(i_0_3473,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2155,c_0_1291]),c_0_1291]),c_0_1291]),
    [final] ).

cnf(i_0_3474,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_2156]),
    [final] ).

cnf(i_0_3475,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_2157]),
    [final] ).

cnf(i_0_3476,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3) = X2
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2153]),
    [final] ).

cnf(i_0_3477,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(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_2158]),
    [final] ).

cnf(i_0_3478,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X1))) ),
    inference(split_conjunct,[status(thm)],[i_0_2159]),
    [final] ).

cnf(i_0_3479,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2082]),
    [final] ).

cnf(i_0_3480,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2160]),
    [final] ).

cnf(i_0_3481,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2161]),
    [final] ).

cnf(i_0_3482,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2162]),
    [final] ).

cnf(i_0_3483,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2106]),
    [final] ).

cnf(i_0_3484,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2163]),
    [final] ).

cnf(i_0_3485,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X1)))
    | ~ hBOOL(hAPP(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_2159]),
    [final] ).

cnf(i_0_3486,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1)))
    | ~ hBOOL(hAPP(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_2164]),
    [final] ).

cnf(i_0_3487,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2165]),
    [final] ).

cnf(i_0_3488,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(hAPP(X3,X1),X2))
    | X2 = X1
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2166]),
    [final] ).

cnf(i_0_3489,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(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_2154]),
    [final] ).

cnf(i_0_3490,plain,
    ( ~ hBOOL(hAPP(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_2167]),
    [final] ).

cnf(i_0_3491,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2168]),
    [final] ).

cnf(i_0_3492,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2169]),
    [final] ).

cnf(i_0_3493,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3494,plain,
    ( c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)) = hAPP(hAPP(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_2170]),
    [final] ).

cnf(i_0_3495,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(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_2171]),
    [final] ).

cnf(i_0_3496,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2171]),
    [final] ).

cnf(i_0_3497,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(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_2172]),
    [final] ).

cnf(i_0_3498,plain,
    ( c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)) = hAPP(hAPP(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_2173]),
    [final] ).

cnf(i_0_3499,plain,
    ( X3 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2174]),
    [final] ).

cnf(i_0_3500,plain,
    ( X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2175]),
    [final] ).

cnf(i_0_3501,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2176]),
    [final] ).

cnf(i_0_3502,plain,
    ( X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2177]),
    [final] ).

cnf(i_0_3503,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 = X3
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2178]),
    [final] ).

cnf(i_0_3504,plain,
    ( X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2179]),
    [final] ).

cnf(i_0_3505,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 = X3
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2127]),
    [final] ).

cnf(i_0_3506,plain,
    ( X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2180]),
    [final] ).

cnf(i_0_3507,plain,
    ( X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2181]),
    [final] ).

cnf(i_0_3508,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2182,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3509,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2183,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3510,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != hAPP(hAPP(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_2184,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3511,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != hAPP(hAPP(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_2185,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3512,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2) != hAPP(hAPP(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_2186,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3513,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_Int_Oint)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2187]),
    [final] ).

cnf(i_0_3514,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_Int_Oint)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2187]),
    [final] ).

cnf(i_0_3515,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2178]),
    [final] ).

cnf(i_0_3516,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2179]),
    [final] ).

cnf(i_0_3517,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_2188]),
    [final] ).

cnf(i_0_3518,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2095]),
    [final] ).

cnf(i_0_3519,plain,
    c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2189]),
    [final] ).

cnf(i_0_3520,plain,
    c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) = hAPP(hAPP(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_2190]),
    [final] ).

cnf(i_0_3521,plain,
    hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),hAPP(c_Complex_ORe,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2191]),
    [final] ).

cnf(i_0_3522,plain,
    hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),hAPP(c_Complex_OIm,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2192]),
    [final] ).

cnf(i_0_3523,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) != hAPP(hAPP(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_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3524,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) != hAPP(hAPP(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_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3525,plain,
    hAPP(c_Complex_ORe,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1),hAPP(c_Complex_ORe,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2195]),
    [final] ).

cnf(i_0_3526,plain,
    hAPP(c_Complex_OIm,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1),hAPP(c_Complex_OIm,X2)),
    inference(split_conjunct,[status(thm)],[i_0_2196]),
    [final] ).

cnf(i_0_3527,plain,
    ( hBOOL(hAPP(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_2069]),
    [final] ).

cnf(i_0_3528,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
    inference(split_conjunct,[status(thm)],[i_0_2197]),
    [final] ).

cnf(i_0_3529,plain,
    c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2198,c_0_1291]),c_0_1547]),c_0_1548]),
    [final] ).

cnf(i_0_3530,plain,
    c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(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_2199,c_0_1491]),
    [final] ).

cnf(i_0_3531,plain,
    ( hBOOL(hAPP(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_2094]),
    [final] ).

cnf(i_0_3532,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk44_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(rw,[status(thm)],[i_0_2200,c_0_1491]),
    [final] ).

cnf(i_0_3533,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X2 != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2187]),
    [final] ).

cnf(i_0_3534,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2201]),
    [final] ).

cnf(i_0_3535,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2202]),
    [final] ).

cnf(i_0_3536,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2203]),
    [final] ).

cnf(i_0_3537,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2204]),
    [final] ).

cnf(i_0_3538,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2205]),
    [final] ).

cnf(i_0_3539,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2206]),
    [final] ).

cnf(i_0_3540,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 != hAPP(hAPP(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_2207,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3541,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != hAPP(hAPP(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_2208,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3542,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(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 != hAPP(hAPP(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_2209,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3543,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(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 != hAPP(hAPP(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_2210,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3544,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2201]),
    [final] ).

cnf(i_0_3545,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2211]),
    [final] ).

cnf(i_0_3546,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2202]),
    [final] ).

cnf(i_0_3547,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2203]),
    [final] ).

cnf(i_0_3548,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2212]),
    [final] ).

cnf(i_0_3549,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2213]),
    [final] ).

cnf(i_0_3550,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2205]),
    [final] ).

cnf(i_0_3551,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2206]),
    [final] ).

cnf(i_0_3552,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)),
    inference(split_conjunct,[status(thm)],[i_0_2214]),
    [final] ).

cnf(i_0_3553,plain,
    c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2),
    inference(split_conjunct,[status(thm)],[i_0_2215]),
    [final] ).

cnf(i_0_3554,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(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_2216]),
    [final] ).

cnf(i_0_3555,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | ~ hBOOL(hAPP(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_2217]),
    [final] ).

cnf(i_0_3556,plain,
    ( c_Groups_Osgn__class_Osgn(X1,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2218]),
    [final] ).

cnf(i_0_3557,plain,
    ( c_Groups_Osgn__class_Osgn(X1,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Olinordered__idom(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2219]),
    [final] ).

cnf(i_0_3558,plain,
    ( X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X2,X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2220]),
    [final] ).

cnf(i_0_3559,plain,
    ( X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk3_2(X2,X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2221]),
    [final] ).

cnf(i_0_3560,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rw,[status(thm)],[i_0_2222,c_0_1548]),
    [final] ).

cnf(i_0_3561,plain,
    ( c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2223]),
    [final] ).

cnf(i_0_3562,plain,
    ( c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2224]),
    [final] ).

cnf(i_0_3563,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2) = hAPP(hAPP(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 != hAPP(hAPP(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_2225,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3564,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2226]),
    [final] ).

cnf(i_0_3565,plain,
    ( c_Nat__Transfer_Otsub(X2,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2227]),
    [final] ).

cnf(i_0_3566,plain,
    ( c_Nat__Transfer_Otsub(X2,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2228]),
    [final] ).

cnf(i_0_3567,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_2229]),
    [final] ).

cnf(i_0_3568,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_2229]),
    [final] ).

cnf(i_0_3569,plain,
    ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),X2)
    | X1 != c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2230]),
    [final] ).

cnf(i_0_3570,plain,
    ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
    | c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2231]),
    [final] ).

cnf(i_0_3571,plain,
    ( hBOOL(hAPP(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_2116]),
    [final] ).

cnf(i_0_3572,plain,
    ( hBOOL(hAPP(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_2117]),
    [final] ).

cnf(i_0_3573,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(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_2232,c_0_1491]),
    [final] ).

cnf(i_0_3574,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_2233]),
    [final] ).

cnf(i_0_3575,plain,
    ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2234,c_0_1547]),c_0_1548]),
    [final] ).

cnf(i_0_3576,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3,X1),X2))
    | X1 != X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2180]),
    [final] ).

cnf(i_0_3577,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2235]),
    [final] ).

cnf(i_0_3578,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2236]),
    [final] ).

cnf(i_0_3579,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2237]),
    [final] ).

cnf(i_0_3580,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2238]),
    [final] ).

cnf(i_0_3581,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2239]),
    [final] ).

cnf(i_0_3582,plain,
    ( X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2240]),
    [final] ).

cnf(i_0_3583,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2241]),
    [final] ).

cnf(i_0_3584,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2242]),
    [final] ).

cnf(i_0_3585,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | X2 = X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2134]),
    [final] ).

cnf(i_0_3586,plain,
    ( X2 = X3
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2243]),
    [final] ).

cnf(i_0_3587,plain,
    ( X2 = X4
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)
    | ~ class_Groups_Ocancel__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2244]),
    [final] ).

cnf(i_0_3588,plain,
    ( X2 = X4
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2245]),
    [final] ).

cnf(i_0_3589,plain,
    ( X3 = X4
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2246]),
    [final] ).

cnf(i_0_3590,plain,
    ( X3 = X4
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)
    | ~ class_Groups_Ocancel__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2247]),
    [final] ).

cnf(i_0_3591,plain,
    ( X3 = X4
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2248]),
    [final] ).

cnf(i_0_3592,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2249]),
    [final] ).

cnf(i_0_3593,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2250]),
    [final] ).

cnf(i_0_3594,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2137]),
    [final] ).

cnf(i_0_3595,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2251]),
    [final] ).

cnf(i_0_3596,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2136]),
    [final] ).

cnf(i_0_3597,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2252]),
    [final] ).

cnf(i_0_3598,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2253]),
    [final] ).

cnf(i_0_3599,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),
    inference(rw,[status(thm)],[i_0_2254,c_0_1548]),
    [final] ).

cnf(i_0_3600,plain,
    hAPP(c_Complex_OIm,c_Complex_Orcis(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),
    inference(rw,[status(thm)],[i_0_2255,c_0_1547]),
    [final] ).

cnf(i_0_3601,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hBOOL(hAPP(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_2142]),
    [final] ).

cnf(i_0_3602,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X2) = X3
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2256]),
    [final] ).

cnf(i_0_3603,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),X2) = X3
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2257]),
    [final] ).

cnf(i_0_3604,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk32_2(X1,X2)))
    | ~ c_SEQ_OBseq(X2,X1)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1941]),
    [final] ).

cnf(i_0_3605,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk27_2(X1,X2)))
    | ~ c_SEQ_OBseq(X2,X1)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1511]),
    [final] ).

cnf(i_0_3606,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rw,[status(thm)],[i_0_2258,c_0_1491]),
    [final] ).

cnf(i_0_3607,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) ),
    inference(rw,[status(thm)],[i_0_2259,c_0_1491]),
    [final] ).

cnf(i_0_3608,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != hAPP(hAPP(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_2260,c_0_1491]),
    [final] ).

cnf(i_0_3609,plain,
    ( hBOOL(hAPP(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_2261]),
    [final] ).

cnf(i_0_3610,plain,
    ( c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2262]),
    [final] ).

cnf(i_0_3611,plain,
    ( hBOOL(hAPP(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_2236]),
    [final] ).

cnf(i_0_3612,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(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)],[i_0_2263,c_0_1491]),
    [final] ).

cnf(i_0_3613,plain,
    c_Complex_Oexpi(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(X1)),c_Complex_Oexpi(X2)),
    inference(split_conjunct,[status(thm)],[i_0_2264]),
    [final] ).

cnf(i_0_3614,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(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_2265,c_0_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3615,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(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_1491]),c_0_1491]),
    [final] ).

cnf(i_0_3616,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2267]),
    [final] ).

cnf(i_0_3617,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2268]),
    [final] ).

cnf(i_0_3618,plain,
    ( X1 = X2
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2269]),
    [final] ).

cnf(i_0_3619,plain,
    ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2270]),
    [final] ).

cnf(i_0_3620,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2271]),
    [final] ).

cnf(i_0_3621,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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_2272,c_0_1491]),
    [final] ).

cnf(i_0_3622,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hBOOL(hAPP(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_2167]),
    [final] ).

cnf(i_0_3623,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2273]),
    [final] ).

cnf(i_0_3624,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2274]),
    [final] ).

cnf(i_0_3625,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2275]),
    [final] ).

cnf(i_0_3626,plain,
    ( c_Transcendental_Oln(X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2271]),
    [final] ).

cnf(i_0_3627,plain,
    ( X1 = X3
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2276]),
    [final] ).

cnf(i_0_3628,plain,
    ( X1 = X3
    | X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2277]),
    [final] ).

cnf(i_0_3629,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 = X3
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2278]),
    [final] ).

cnf(i_0_3630,plain,
    ( X2 = X3
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2279]),
    [final] ).

cnf(i_0_3631,plain,
    ( X2 = X3
    | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2280]),
    [final] ).

cnf(i_0_3632,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2220]),
    [final] ).

cnf(i_0_3633,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2221]),
    [final] ).

cnf(i_0_3634,plain,
    hAPP(c_Complex_ORe,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X1)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(split_conjunct,[status(thm)],[i_0_2281]),
    [final] ).

cnf(i_0_3635,plain,
    hAPP(c_Complex_OIm,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X1)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
    inference(split_conjunct,[status(thm)],[i_0_2282]),
    [final] ).

cnf(i_0_3636,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2) = X4
    | ~ class_Rings_Odivision__ring(X1)
    | X3 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2283]),
    [final] ).

cnf(i_0_3637,plain,
    ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),X1),X4) = X3
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X4)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2284]),
    [final] ).

cnf(i_0_3638,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4) = X3
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),X3),X4)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2285]),
    [final] ).

cnf(i_0_3639,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2)
    | ~ class_Rings_Odivision__ring(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2) != X4 ),
    inference(split_conjunct,[status(thm)],[i_0_2286]),
    [final] ).

cnf(i_0_3640,plain,
    ( X2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) != X4
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2285]),
    [final] ).

cnf(i_0_3641,plain,
    ( X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3) != X4
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2284]),
    [final] ).

cnf(i_0_3642,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk18_2(X1,X2)))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1586]),
    [final] ).

cnf(i_0_3643,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk16_2(X1,X2)))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1582]),
    [final] ).

cnf(i_0_3644,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk26_2(X1,X2)))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1585]),
    [final] ).

cnf(i_0_3645,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk25_2(X1,X2)))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1581]),
    [final] ).

cnf(i_0_3646,plain,
    ( hBOOL(hAPP(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_2287]),
    [final] ).

cnf(i_0_3647,plain,
    ( X1 = X3
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2288]),
    [final] ).

cnf(i_0_3648,plain,
    ( X2 = X3
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2289]),
    [final] ).

cnf(i_0_3649,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)))),
    inference(split_conjunct,[status(thm)],[i_0_2290]),
    [final] ).

cnf(i_0_3650,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk33_1(X1)),esk34_1(X1)))
    | c_SEQ_Oconvergent(tc_RealDef_Oreal,X1)
    | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1915]),
    [final] ).

cnf(i_0_3651,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(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_2291]),
    [final] ).

cnf(i_0_3652,plain,
    ( ~ hBOOL(hAPP(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_2292]),
    [final] ).

cnf(i_0_3653,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1) = X2,
    inference(split_conjunct,[status(thm)],[i_0_2293]),
    [final] ).

cnf(i_0_3654,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2294]),
    [final] ).

cnf(i_0_3655,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Osgn__class_Osgn(X1,X2) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2218]),
    [final] ).

cnf(i_0_3656,plain,
    ( hBOOL(hAPP(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_2295]),
    [final] ).

cnf(i_0_3657,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3,X1),X2))
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2179]),
    [final] ).

cnf(i_0_3658,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2134]),
    [final] ).

cnf(i_0_3659,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2296]),
    [final] ).

cnf(i_0_3660,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_2297]),
    [final] ).

cnf(i_0_3661,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_2298]),
    [final] ).

cnf(i_0_3662,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2238]),
    [final] ).

cnf(i_0_3663,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X3 != X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2238]),
    [final] ).

cnf(i_0_3664,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X2)) = X2
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2299]),
    [final] ).

cnf(i_0_3665,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2300]),
    [final] ).

cnf(i_0_3666,plain,
    ( c_RComplete_Onatfloor(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(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_2301]),
    [final] ).

cnf(i_0_3667,plain,
    ( c_RComplete_Onatceiling(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(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_2302]),
    [final] ).

cnf(i_0_3668,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(X1,X2)))
    | ~ c_SEQ_Osubseq(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2303]),
    [final] ).

cnf(i_0_3669,plain,
    hBOOL(hAPP(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_2304]),
    [final] ).

cnf(i_0_3670,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(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_2305]),
    [final] ).

cnf(i_0_3671,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(split_conjunct,[status(thm)],[i_0_2306]),
    [final] ).

cnf(i_0_3672,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(split_conjunct,[status(thm)],[i_0_2307]),
    [final] ).

cnf(i_0_3673,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(split_conjunct,[status(thm)],[i_0_2308]),
    [final] ).

cnf(i_0_3674,plain,
    ( hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ epred1_3(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_1567]),
    [final] ).

cnf(i_0_3675,plain,
    ( X1 = X2
    | hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2309]),
    [final] ).

cnf(i_0_3676,plain,
    ( hBOOL(hAPP(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_2310]),
    [final] ).

cnf(i_0_3677,plain,
    ( hBOOL(hAPP(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_2311]),
    [final] ).

cnf(i_0_3678,plain,
    ( ~ hBOOL(hAPP(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_2312]),
    [final] ).

cnf(i_0_3679,plain,
    ( c_SEQ_Oconvergent(X1,c_COMBK(X1,tc_Nat_Onat,X2))
    | ~ class_RealVector_Ometric__space(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2313]),
    [final] ).

cnf(i_0_3680,plain,
    c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(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_2314,c_0_1491]),
    [final] ).

cnf(i_0_3681,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(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_2315]),
    [final] ).

cnf(i_0_3682,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2201]),
    [final] ).

cnf(i_0_3683,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2268]),
    [final] ).

cnf(i_0_3684,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2268]),
    [final] ).

cnf(i_0_3685,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2202]),
    [final] ).

cnf(i_0_3686,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2316]),
    [final] ).

cnf(i_0_3687,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2317]),
    [final] ).

cnf(i_0_3688,plain,
    ( X1 != X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_2205]),
    [final] ).

cnf(i_0_3689,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hAPP(hAPP(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_2315]),
    [final] ).

cnf(i_0_3690,plain,
    hAPP(c_COMBK(X1,X2,X3),X4) = X3,
    inference(split_conjunct,[status(thm)],[i_0_2318]),
    [final] ).

cnf(i_0_3691,plain,
    ( hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2319,c_0_1547]),c_0_1548]),
    [final] ).

cnf(i_0_3692,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rw,[status(thm)],[i_0_2320,c_0_1491]),
    [final] ).

cnf(i_0_3693,plain,
    c_Complex_Ocomplex_Ocomplex__case(X1,X2,c_Complex_Ocomplex_OComplex(X3,X4)) = hAPP(hAPP(X2,X3),X4),
    inference(split_conjunct,[status(thm)],[i_0_2321]),
    [final] ).

cnf(i_0_3694,plain,
    c_Complex_Ocomplex_Ocomplex__rec(X1,X2,c_Complex_Ocomplex_OComplex(X3,X4)) = hAPP(hAPP(X2,X3),X4),
    inference(split_conjunct,[status(thm)],[i_0_2322]),
    [final] ).

cnf(i_0_3695,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(split_conjunct,[status(thm)],[i_0_2323]),
    [final] ).

cnf(i_0_3696,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(split_conjunct,[status(thm)],[i_0_2324]),
    [final] ).

cnf(i_0_3697,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk10_1(X1)),esk11_1(X1)))
    | c_SEQ_Osubseq(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1936]),
    [final] ).

cnf(i_0_3698,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2325]),
    [final] ).

cnf(i_0_3699,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2326]),
    [final] ).

cnf(i_0_3700,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk17_1(X1)))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1518]),
    [final] ).

cnf(i_0_3701,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk24_1(X1)))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_1517]),
    [final] ).

cnf(i_0_3702,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1) = hAPP(hAPP(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_2327,c_0_1491]),
    [final] ).

cnf(i_0_3703,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(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_2328]),
    [final] ).

cnf(i_0_3704,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ono__zero__divisors(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2329]),
    [final] ).

cnf(i_0_3705,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Ono__zero__divisors(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2330]),
    [final] ).

cnf(i_0_3706,plain,
    ( X2 = X3
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(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_2331]),
    [final] ).

cnf(i_0_3707,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_2332]),
    [final] ).

cnf(i_0_3708,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_2333]),
    [final] ).

cnf(i_0_3709,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),
    inference(rw,[status(thm)],[i_0_2334,c_0_1491]),
    [final] ).

cnf(i_0_3710,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2335]),
    [final] ).

cnf(i_0_3711,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(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_2336]),
    [final] ).

cnf(i_0_3712,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Ozero__class_Ozero(X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)
    | ~ class_Groups_Olinordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2337]),
    [final] ).

cnf(i_0_3713,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X1))),
    inference(split_conjunct,[status(thm)],[i_0_2338]),
    [final] ).

cnf(i_0_3714,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X1))),
    inference(split_conjunct,[status(thm)],[i_0_2339]),
    [final] ).

cnf(i_0_3715,plain,
    ( c_Groups_Oabs__class_Oabs(X1,X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Osgn__class_Osgn(X1,X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2340]),
    [final] ).

cnf(i_0_3716,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2278]),
    [final] ).

cnf(i_0_3717,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2279]),
    [final] ).

cnf(i_0_3718,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2276]),
    [final] ).

cnf(i_0_3719,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(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_2315]),
    [final] ).

cnf(i_0_3720,plain,
    ( X3 = c_Groups_Ozero__class_Ozero(X2)
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2341]),
    [final] ).

cnf(i_0_3721,plain,
    hBOOL(hAPP(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_3722,plain,
    hBOOL(hAPP(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_3723,plain,
    hBOOL(hAPP(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_3724,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2132]),
    [final] ).

cnf(i_0_3725,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | X3 != X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2132]),
    [final] ).

cnf(i_0_3726,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X1)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_2342]),
    [final] ).

cnf(i_0_3727,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,X1),X2))
    | X1 != X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_2178]),
    [final] ).

cnf(i_0_3728,plain,
    ( hBOOL(hAPP(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_2228]),
    [final] ).

cnf(i_0_3729,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2292]),
    [final] ).

cnf(i_0_3730,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_2343]),
    [final] ).

cnf(i_0_3731,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_2344]),
    [final] ).

cnf(i_0_3732,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_2345]),
    [final] ).

cnf(i_0_3733,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_2346]),
    [final] ).

cnf(i_0_3734,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_2347]),
    [final] ).

cnf(i_0_3735,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_2348]),
    [final] ).

cnf(i_0_3736,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2349]),
    [final] ).

cnf(i_0_3737,plain,
    ( hAPP(hAPP(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_2350]),
    [final] ).

cnf(i_0_3738,plain,
    hBOOL(hAPP(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_2351]),
    [final] ).

cnf(i_0_3739,plain,
    hBOOL(hAPP(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_2352]),
    [final] ).

cnf(i_0_3740,plain,
    ( hBOOL(hAPP(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_2305]),
    [final] ).

cnf(i_0_3741,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(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_2350]),
    [final] ).

cnf(i_0_3742,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk13_0)),
    inference(split_conjunct,[status(thm)],[i_0_1802]),
    [final] ).

cnf(i_0_3743,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk12_0)),
    inference(split_conjunct,[status(thm)],[i_0_1805]),
    [final] ).

cnf(i_0_3744,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk15_0)),
    inference(split_conjunct,[status(thm)],[i_0_1801]),
    [final] ).

cnf(i_0_3745,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk14_0)),
    inference(split_conjunct,[status(thm)],[i_0_1804]),
    [final] ).

cnf(i_0_3746,plain,
    hBOOL(hAPP(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_3747,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2353]),
    [final] ).

cnf(i_0_3748,plain,
    ( X2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2354]),
    [final] ).

cnf(i_0_3749,plain,
    c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
    inference(split_conjunct,[status(thm)],[i_0_2355]),
    [final] ).

cnf(i_0_3750,plain,
    hAPP(hAPP(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_2356,c_0_1491]),
    [final] ).

cnf(i_0_3751,plain,
    hAPP(hAPP(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_2357,c_0_1491]),
    [final] ).

cnf(i_0_3752,plain,
    hAPP(hAPP(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_2358,c_0_1491]),
    [final] ).

cnf(i_0_3753,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2359,c_0_1491]),
    [final] ).

cnf(i_0_3754,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2360,c_0_1491]),
    [final] ).

cnf(i_0_3755,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2361,c_0_1491]),
    [final] ).

cnf(i_0_3756,plain,
    ( X1 = X2
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2362]),
    [final] ).

cnf(i_0_3757,plain,
    ( X1 = X2
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2363]),
    [final] ).

cnf(i_0_3758,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2364]),
    [final] ).

cnf(i_0_3759,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2364]),
    [final] ).

cnf(i_0_3760,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(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_2365]),
    [final] ).

cnf(i_0_3761,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(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_2365]),
    [final] ).

cnf(i_0_3762,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
    | c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2366]),
    [final] ).

cnf(i_0_3763,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
    | c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2366]),
    [final] ).

cnf(i_0_3764,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2203]),
    [final] ).

cnf(i_0_3765,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2367]),
    [final] ).

cnf(i_0_3766,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2213]),
    [final] ).

cnf(i_0_3767,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_2206]),
    [final] ).

cnf(i_0_3768,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rw,[status(thm)],[i_0_2368,c_0_1491]),
    [final] ).

cnf(i_0_3769,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rw,[status(thm)],[i_0_2369,c_0_1491]),
    [final] ).

cnf(i_0_3770,plain,
    ( c_Power_Opower__class_Opower(X1) = c_Power_Opower_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1))
    | ~ class_Power_Opower(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2370]),
    [final] ).

cnf(i_0_3771,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_2371]),
    [final] ).

cnf(i_0_3772,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(split_conjunct,[status(thm)],[i_0_2372]),
    [final] ).

cnf(i_0_3773,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(split_conjunct,[status(thm)],[i_0_2373]),
    [final] ).

cnf(i_0_3774,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(split_conjunct,[status(thm)],[i_0_2374]),
    [final] ).

cnf(i_0_3775,plain,
    ( hAPP(hAPP(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_2375]),
    [final] ).

cnf(i_0_3776,plain,
    ( hAPP(hAPP(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_2376]),
    [final] ).

cnf(i_0_3777,plain,
    ( hAPP(hAPP(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_2377]),
    [final] ).

cnf(i_0_3778,plain,
    ( hAPP(hAPP(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_2378]),
    [final] ).

cnf(i_0_3779,plain,
    ( hAPP(hAPP(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_2379]),
    [final] ).

cnf(i_0_3780,plain,
    ( hAPP(hAPP(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_2380]),
    [final] ).

cnf(i_0_3781,plain,
    ( hAPP(hAPP(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_2381]),
    [final] ).

cnf(i_0_3782,plain,
    ( hAPP(hAPP(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_2382]),
    [final] ).

cnf(i_0_3783,plain,
    ( hAPP(hAPP(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_2383]),
    [final] ).

cnf(i_0_3784,plain,
    ( hAPP(hAPP(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_2384]),
    [final] ).

cnf(i_0_3785,plain,
    ( hAPP(hAPP(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_2385]),
    [final] ).

cnf(i_0_3786,plain,
    ( hAPP(hAPP(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_2386]),
    [final] ).

cnf(i_0_3787,plain,
    ( hAPP(hAPP(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_2387]),
    [final] ).

cnf(i_0_3788,plain,
    ( hAPP(hAPP(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_2331]),
    [final] ).

cnf(i_0_3789,plain,
    ( hAPP(hAPP(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_2388]),
    [final] ).

cnf(i_0_3790,plain,
    ( hAPP(hAPP(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_2328]),
    [final] ).

cnf(i_0_3791,plain,
    ( hAPP(hAPP(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_2328]),
    [final] ).

cnf(i_0_3792,plain,
    ( hAPP(hAPP(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_2336]),
    [final] ).

cnf(i_0_3793,plain,
    ( c_Groups_Ozero__class_Ozero(X2) = hAPP(hAPP(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_2337]),
    [final] ).

cnf(i_0_3794,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2389]),
    [final] ).

cnf(i_0_3795,plain,
    ( c_Divides_Odiv__class_Odiv(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2390]),
    [final] ).

cnf(i_0_3796,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Divides_Odiv__class_Odiv(X1,X2,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2391]),
    [final] ).

cnf(i_0_3797,plain,
    ( hAPP(hAPP(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_2392]),
    [final] ).

cnf(i_0_3798,plain,
    ( hAPP(hAPP(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_2393]),
    [final] ).

cnf(i_0_3799,plain,
    ( hAPP(hAPP(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_2394]),
    [final] ).

cnf(i_0_3800,plain,
    ( hAPP(hAPP(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_2395]),
    [final] ).

cnf(i_0_3801,plain,
    ( hAPP(hAPP(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_2396]),
    [final] ).

cnf(i_0_3802,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) = c_Groups_Oone__class_Oone(X2)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ class_Power_Opower(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_1956]),
    [final] ).

cnf(i_0_3803,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_2332]),
    [final] ).

cnf(i_0_3804,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_2333]),
    [final] ).

cnf(i_0_3805,plain,
    ( X3 = hAPP(hAPP(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_2341]),
    [final] ).

cnf(i_0_3806,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | hAPP(hAPP(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_2388]),
    [final] ).

cnf(i_0_3807,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(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_2397]),
    [final] ).

cnf(i_0_3808,plain,
    ( c_Divides_Odiv__class_Odiv(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2398]),
    [final] ).

cnf(i_0_3809,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_2399]),
    [final] ).

cnf(i_0_3810,plain,
    ( hAPP(hAPP(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_2400]),
    [final] ).

cnf(i_0_3811,plain,
    ( hAPP(hAPP(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_2401]),
    [final] ).

cnf(i_0_3812,plain,
    ( hAPP(hAPP(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_2402]),
    [final] ).

cnf(i_0_3813,plain,
    ( hAPP(hAPP(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_2403]),
    [final] ).

cnf(i_0_3814,plain,
    ( hAPP(hAPP(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_2404]),
    [final] ).

cnf(i_0_3815,plain,
    ( hAPP(hAPP(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_2405]),
    [final] ).

cnf(i_0_3816,plain,
    ( hAPP(hAPP(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_2406]),
    [final] ).

cnf(i_0_3817,plain,
    ( hAPP(hAPP(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_2407]),
    [final] ).

cnf(i_0_3818,plain,
    ( hAPP(hAPP(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_2408]),
    [final] ).

cnf(i_0_3819,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_2409]),
    [final] ).

cnf(i_0_3820,plain,
    ( hAPP(hAPP(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_2410]),
    [final] ).

cnf(i_0_3821,plain,
    ( hAPP(hAPP(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_2411]),
    [final] ).

cnf(i_0_3822,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2082]),
    [final] ).

cnf(i_0_3823,plain,
    ( c_Groups_Osgn__class_Osgn(X1,c_Groups_Osgn__class_Osgn(X1,X2)) = c_Groups_Osgn__class_Osgn(X1,X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2412]),
    [final] ).

cnf(i_0_3824,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_2413]),
    [final] ).

cnf(i_0_3825,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2414]),
    [final] ).

cnf(i_0_3826,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) = 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(split_conjunct,[status(thm)],[i_0_2364]),
    [final] ).

cnf(i_0_3827,plain,
    ( hAPP(hAPP(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_2365]),
    [final] ).

cnf(i_0_3828,plain,
    ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)
    | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
    | X2 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2366]),
    [final] ).

cnf(i_0_3829,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_2415]),
    [final] ).

cnf(i_0_3830,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X1) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[i_0_2416]),
    [final] ).

cnf(i_0_3831,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[i_0_2417]),
    [final] ).

cnf(i_0_3832,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_2418]),
    [final] ).

cnf(i_0_3833,plain,
    ( c_RealVector_Onorm__class_Onorm(X2,c_Groups_Osgn__class_Osgn(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_2419]),
    [final] ).

cnf(i_0_3834,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(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_2420,c_0_1491]),
    [final] ).

cnf(i_0_3835,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_2421]),
    [final] ).

cnf(i_0_3836,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_2422]),
    [final] ).

cnf(i_0_3837,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(X2,c_Groups_Osgn__class_Osgn(X2,X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2419]),
    [final] ).

cnf(i_0_3838,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_2423]),
    [final] ).

cnf(i_0_3839,plain,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1994]),
    [final] ).

cnf(i_0_3840,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_1833]),
    [final] ).

cnf(i_0_3841,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[i_0_2353]),
    [final] ).

cnf(i_0_3842,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),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_2353]),
    [final] ).

cnf(i_0_3843,plain,
    ( c_SEQ_Oconvergent(tc_RealDef_Oreal,X1)
    | ~ c_SEQ_OBseq(tc_RealDef_Oreal,X1)
    | ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2424]),
    [final] ).

cnf(i_0_3844,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[i_0_2425,c_0_1548]),
    [final] ).

cnf(i_0_3845,plain,
    hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[i_0_2426,c_0_1547]),
    [final] ).

cnf(i_0_3846,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2427]),
    [final] ).

cnf(i_0_3847,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2428]),
    [final] ).

cnf(i_0_3848,plain,
    hAPP(hAPP(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_2429]),
    [final] ).

cnf(i_0_3849,plain,
    hAPP(hAPP(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_2430]),
    [final] ).

cnf(i_0_3850,plain,
    hAPP(hAPP(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_2431]),
    [final] ).

cnf(i_0_3851,plain,
    ( hAPP(hAPP(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_1310]),
    [final] ).

cnf(i_0_3852,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_2432]),
    [final] ).

cnf(i_0_3853,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X1,X2)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
    inference(split_conjunct,[status(thm)],[i_0_2433]),
    [final] ).

cnf(i_0_3854,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2434]),
    [final] ).

cnf(i_0_3855,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2435]),
    [final] ).

cnf(i_0_3856,plain,
    hAPP(hAPP(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_2436]),
    [final] ).

cnf(i_0_3857,plain,
    hAPP(hAPP(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_2437]),
    [final] ).

cnf(i_0_3858,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_2438]),
    [final] ).

cnf(i_0_3859,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_2439]),
    [final] ).

cnf(i_0_3860,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2439]),
    [final] ).

cnf(i_0_3861,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_2440]),
    [final] ).

cnf(i_0_3862,plain,
    ( c_SEQ_Omonoseq(X1,X2)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_SEQ_Oincseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2441]),
    [final] ).

cnf(i_0_3863,plain,
    ( c_SEQ_Omonoseq(X1,X2)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_SEQ_Odecseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2442]),
    [final] ).

cnf(i_0_3864,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_2440]),
    [final] ).

cnf(i_0_3865,plain,
    ( X1 = X2
    | c_RealDef_Oreal(tc_Nat_Onat,X1) != c_RealDef_Oreal(tc_Nat_Onat,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2443]),
    [final] ).

cnf(i_0_3866,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Osgn__class_Osgn(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2444]),
    [final] ).

cnf(i_0_3867,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | c_Groups_Osgn__class_Osgn(X1,X2) != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2445]),
    [final] ).

cnf(i_0_3868,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_2446]),
    [final] ).

cnf(i_0_3869,plain,
    c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_2447]),
    [final] ).

cnf(i_0_3870,plain,
    hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(X1,X2)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2448]),
    [final] ).

cnf(i_0_3871,plain,
    hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[i_0_2449]),
    [final] ).

cnf(i_0_3872,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_2450]),
    [final] ).

cnf(i_0_3873,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2451]),
    [final] ).

cnf(i_0_3874,plain,
    ( class_Orderings_Oord(tc_fun(X2,X1))
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2452]),
    [final] ).

cnf(i_0_3875,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2453]),
    [final] ).

cnf(i_0_3876,plain,
    ( c_Groups_Osgn__class_Osgn(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2444]),
    [final] ).

cnf(i_0_3877,plain,
    ( c_Groups_Osgn__class_Osgn(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | X1 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_2445]),
    [final] ).

cnf(i_0_3878,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_2446]),
    [final] ).

cnf(i_0_3879,plain,
    c_Complex_Ocomplex_Ocomplex__size(c_Complex_Ocomplex_OComplex(X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[i_0_2454]),
    [final] ).

cnf(i_0_3880,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_2450]),
    [final] ).

cnf(i_0_3881,plain,
    ( c_Groups_Osgn__class_Osgn(X1,c_Groups_Oone__class_Oone(X1)) = c_Groups_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2455]),
    [final] ).

cnf(i_0_3882,plain,
    ( c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Osgn__if(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2456]),
    [final] ).

cnf(i_0_3883,plain,
    ( c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2457]),
    [final] ).

cnf(i_0_3884,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_2458]),
    [final] ).

cnf(i_0_3885,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_2459]),
    [final] ).

cnf(i_0_3886,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[i_0_2460]),
    [final] ).

cnf(i_0_3887,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[i_0_2461]),
    [final] ).

cnf(i_0_3888,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[i_0_2460]),
    [final] ).

cnf(i_0_3889,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[i_0_2461]),
    [final] ).

cnf(i_0_3890,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_2462]),
    [final] ).

cnf(i_0_3891,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_2463]),
    [final] ).

cnf(i_0_3892,plain,
    ( c_Complex_Ocomplex_OComplex(X1,X2) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
    | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | X2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2460]),
    [final] ).

cnf(i_0_3893,plain,
    ( c_Complex_Ocomplex_OComplex(X1,X2) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | 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_2461]),
    [final] ).

cnf(i_0_3894,plain,
    c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2464]),
    [final] ).

cnf(i_0_3895,plain,
    c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1)) = X1,
    inference(split_conjunct,[status(thm)],[i_0_2465]),
    [final] ).

cnf(i_0_3896,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_2466]),
    [final] ).

cnf(i_0_3897,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Complex_Oii ),
    inference(split_conjunct,[status(thm)],[i_0_2467]),
    [final] ).

cnf(i_0_3898,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Complex_Oii ),
    inference(split_conjunct,[status(thm)],[i_0_2467]),
    [final] ).

cnf(i_0_3899,plain,
    ( c_Complex_Ocomplex_OComplex(X1,X2) = c_Complex_Oii
    | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[i_0_2467]),
    [final] ).

cnf(i_0_3900,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_2468]),
    [final] ).

cnf(i_0_3901,plain,
    c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(rw,[status(thm)],[i_0_2469,c_0_1291]),
    [final] ).

cnf(i_0_3902,plain,
    c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[fact_complex__one__def]),
    [final] ).

cnf(i_0_3903,plain,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[fact_complex__zero__def]),
    [final] ).

cnf(i_0_3904,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_2466]),
    [final] ).

cnf(i_0_3905,plain,
    c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[fact_i__def]),
    [final] ).

cnf(i_0_3906,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_2470]),
    [final] ).

cnf(i_0_3907,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_2471]),
    [final] ).

cnf(i_0_3908,plain,
    c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[i_0_2472]),
    [final] ).

cnf(i_0_3909,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_3910,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_3911,plain,
    hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_complex__Re__one]),
    [final] ).

cnf(i_0_3912,plain,
    hAPP(c_Complex_ORe,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_Re_Ozero]),
    [final] ).

cnf(i_0_3913,plain,
    hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_complex__Im__one]),
    [final] ).

cnf(i_0_3914,plain,
    hAPP(c_Complex_OIm,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_Im_Ozero]),
    [final] ).

cnf(i_0_3915,plain,
    ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2473]),
    [final] ).

cnf(i_0_3916,plain,
    ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2474]),
    [final] ).

cnf(i_0_3917,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_2475]),
    [final] ).

cnf(i_0_3918,plain,
    ( class_Rings_Oidom(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2476]),
    [final] ).

cnf(i_0_3919,plain,
    ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Fields_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2477]),
    [final] ).

cnf(i_0_3920,plain,
    ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2478]),
    [final] ).

cnf(i_0_3921,plain,
    ( class_Rings_Oring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2479]),
    [final] ).

cnf(i_0_3922,plain,
    ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2480]),
    [final] ).

cnf(i_0_3923,plain,
    ( class_Rings_Oring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2481]),
    [final] ).

cnf(i_0_3924,plain,
    ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2482]),
    [final] ).

cnf(i_0_3925,plain,
    ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2483]),
    [final] ).

cnf(i_0_3926,plain,
    ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2484]),
    [final] ).

cnf(i_0_3927,plain,
    ( class_Power_Opower(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2485]),
    [final] ).

cnf(i_0_3928,plain,
    ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2486]),
    [final] ).

cnf(i_0_3929,plain,
    ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2487]),
    [final] ).

cnf(i_0_3930,plain,
    ( class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2488]),
    [final] ).

cnf(i_0_3931,plain,
    ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2489]),
    [final] ).

cnf(i_0_3932,plain,
    ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2490]),
    [final] ).

cnf(i_0_3933,plain,
    ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2491]),
    [final] ).

cnf(i_0_3934,plain,
    ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2492]),
    [final] ).

cnf(i_0_3935,plain,
    ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2493]),
    [final] ).

cnf(i_0_3936,plain,
    ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2494]),
    [final] ).

cnf(i_0_3937,plain,
    ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2495]),
    [final] ).

cnf(i_0_3938,plain,
    ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2496]),
    [final] ).

cnf(i_0_3939,plain,
    ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2497]),
    [final] ).

cnf(i_0_3940,plain,
    ( class_Groups_Osgn__if(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2498]),
    [final] ).

cnf(i_0_3941,plain,
    ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2499]),
    [final] ).

cnf(i_0_3942,plain,
    ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2500]),
    [final] ).

cnf(i_0_3943,plain,
    ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2501]),
    [final] ).

cnf(i_0_3944,plain,
    ( class_Rings_Osemiring(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2502]),
    [final] ).

cnf(i_0_3945,plain,
    ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2503]),
    [final] ).

cnf(i_0_3946,plain,
    ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2504]),
    [final] ).

cnf(i_0_3947,plain,
    ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2505]),
    [final] ).

cnf(i_0_3948,plain,
    ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2506]),
    [final] ).

cnf(i_0_3949,plain,
    ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2507]),
    [final] ).

cnf(i_0_3950,plain,
    ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2508]),
    [final] ).

cnf(i_0_3951,plain,
    ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2509]),
    [final] ).

cnf(i_0_3952,plain,
    ( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2510]),
    [final] ).

cnf(i_0_3953,plain,
    ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2511]),
    [final] ).

cnf(i_0_3954,plain,
    ( class_Orderings_Oord(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2512]),
    [final] ).

cnf(i_0_3955,plain,
    ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2513]),
    [final] ).

cnf(i_0_3956,plain,
    ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2514]),
    [final] ).

cnf(i_0_3957,plain,
    ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2515]),
    [final] ).

cnf(i_0_3958,plain,
    ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2516]),
    [final] ).

cnf(i_0_3959,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_2517]),
    [final] ).

cnf(i_0_3960,plain,
    ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2518]),
    [final] ).

cnf(i_0_3961,plain,
    ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2519]),
    [final] ).

cnf(i_0_3962,plain,
    ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2520]),
    [final] ).

cnf(i_0_3963,plain,
    ( class_Groups_Oone(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2521]),
    [final] ).

cnf(i_0_3964,plain,
    ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2522]),
    [final] ).

cnf(i_0_3965,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_2523]),
    [final] ).

cnf(i_0_3966,plain,
    ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ocancel__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2524]),
    [final] ).

cnf(i_0_3967,plain,
    ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2525]),
    [final] ).

cnf(i_0_3968,plain,
    ( class_Groups_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Groups_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2526]),
    [final] ).

cnf(i_0_3969,plain,
    ( class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2527]),
    [final] ).

cnf(i_0_3970,plain,
    ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2528]),
    [final] ).

cnf(i_0_3971,plain,
    ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_2529]),
    [final] ).

cnf(i_0_3972,plain,
    hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_complex__Re__i]),
    [final] ).

cnf(i_0_3973,plain,
    hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_complex__Im__i]),
    [final] ).

cnf(i_0_3974,plain,
    c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[fact_ln__one]),
    [final] ).

cnf(i_0_3975,plain,
    c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[fact_natfloor__one]),
    [final] ).

cnf(i_0_3976,plain,
    c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[fact_natfloor__zero]),
    [final] ).

cnf(i_0_3977,plain,
    c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[fact_natceiling__one]),
    [final] ).

cnf(i_0_3978,plain,
    c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[fact_natceiling__zero]),
    [final] ).

cnf(i_0_3979,plain,
    c_Complex_Oexpi(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[fact_expi__zero]),
    [final] ).

cnf(i_0_3980,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_3981,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_3982,plain,
    c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[fact_complex__i__not__one]),
    [final] ).

cnf(i_0_3983,plain,
    c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[fact_complex__i__not__zero]),
    [final] ).

cnf(i_0_3984,plain,
    class_Rings_Ocomm__ring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__ring]),
    [final] ).

cnf(i_0_3985,plain,
    class_Rings_Ocomm__ring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__ring]),
    [final] ).

cnf(i_0_3986,plain,
    class_Rings_Ocomm__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__ring]),
    [final] ).

cnf(i_0_3987,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_3988,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_3989,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_3990,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_3991,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_3992,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_3993,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_3994,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_3995,plain,
    class_Rings_Oidom(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oidom]),
    [final] ).

cnf(i_0_3996,plain,
    class_Rings_Oidom(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]),
    [final] ).

cnf(i_0_3997,plain,
    class_Rings_Oidom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oidom]),
    [final] ).

cnf(i_0_3998,plain,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field]),
    [final] ).

cnf(i_0_3999,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_4000,plain,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__field]),
    [final] ).

cnf(i_0_4001,plain,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__field]),
    [final] ).

cnf(i_0_4002,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_4003,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_4004,plain,
    class_Fields_Ofield(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]),
    [final] ).

cnf(i_0_4005,plain,
    class_Fields_Ofield(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Ofield]),
    [final] ).

cnf(i_0_4006,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_4007,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_4008,plain,
    class_Rings_Odivision__ring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring]),
    [final] ).

cnf(i_0_4009,plain,
    class_Rings_Odivision__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Odivision__ring]),
    [final] ).

cnf(i_0_4010,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_4011,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_4012,plain,
    class_Divides_Osemiring__div(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Divides_Osemiring__div]),
    [final] ).

cnf(i_0_4013,plain,
    class_Divides_Osemiring__div(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Divides_Osemiring__div]),
    [final] ).

cnf(i_0_4014,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_4015,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_4016,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_4017,plain,
    class_Rings_Oring__1(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring__1]),
    [final] ).

cnf(i_0_4018,plain,
    class_Rings_Oring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring__1]),
    [final] ).

cnf(i_0_4019,plain,
    class_Rings_Oring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oring__1]),
    [final] ).

cnf(i_0_4020,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_4021,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_4022,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_4023,plain,
    class_Rings_Oring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring]),
    [final] ).

cnf(i_0_4024,plain,
    class_Rings_Oring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring]),
    [final] ).

cnf(i_0_4025,plain,
    class_Rings_Oring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oring]),
    [final] ).

cnf(i_0_4026,plain,
    class_Groups_Ogroup__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ogroup__add]),
    [final] ).

cnf(i_0_4027,plain,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]),
    [final] ).

cnf(i_0_4028,plain,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__add]),
    [final] ).

cnf(i_0_4029,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_4030,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_4031,plain,
    class_Rings_Osemiring__0(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Osemiring__0]),
    [final] ).

cnf(i_0_4032,plain,
    class_Rings_Osemiring__0(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Osemiring__0]),
    [final] ).

cnf(i_0_4033,plain,
    class_Rings_Osemiring__0(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Osemiring__0]),
    [final] ).

cnf(i_0_4034,plain,
    class_Rings_Osemiring__0(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Osemiring__0]),
    [final] ).

cnf(i_0_4035,plain,
    class_Power_Opower(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Power_Opower]),
    [final] ).

cnf(i_0_4036,plain,
    class_Power_Opower(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Power_Opower]),
    [final] ).

cnf(i_0_4037,plain,
    class_Power_Opower(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Power_Opower]),
    [final] ).

cnf(i_0_4038,plain,
    class_Power_Opower(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Power_Opower]),
    [final] ).

cnf(i_0_4039,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_4040,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_4041,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_4042,plain,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Ometric__space]),
    [final] ).

cnf(i_0_4043,plain,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Ometric__space]),
    [final] ).

cnf(i_0_4044,plain,
    class_Rings_Olinordered__semiring__1(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semiring__1]),
    [final] ).

cnf(i_0_4045,plain,
    class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semiring__1]),
    [final] ).

cnf(i_0_4046,plain,
    class_Rings_Oordered__ring__abs(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__ring__abs]),
    [final] ).

cnf(i_0_4047,plain,
    class_Rings_Oordered__ring__abs(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__ring__abs]),
    [final] ).

cnf(i_0_4048,plain,
    class_Rings_Olinordered__semiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semiring]),
    [final] ).

cnf(i_0_4049,plain,
    class_Rings_Olinordered__semiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semiring]),
    [final] ).

cnf(i_0_4050,plain,
    class_Rings_Olinordered__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semiring]),
    [final] ).

cnf(i_0_4051,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_4052,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_4053,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_4054,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_4055,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_4056,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_4057,plain,
    class_Rings_Olinordered__ring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__ring]),
    [final] ).

cnf(i_0_4058,plain,
    class_Rings_Olinordered__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__ring]),
    [final] ).

cnf(i_0_4059,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_4060,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_4061,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_4062,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_4063,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_4064,plain,
    class_Rings_Oordered__semiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__semiring]),
    [final] ).

cnf(i_0_4065,plain,
    class_Rings_Oordered__semiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Oordered__semiring]),
    [final] ).

cnf(i_0_4066,plain,
    class_Rings_Oordered__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__semiring]),
    [final] ).

cnf(i_0_4067,plain,
    class_Rings_Oordered__ring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__ring]),
    [final] ).

cnf(i_0_4068,plain,
    class_Rings_Oordered__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__ring]),
    [final] ).

cnf(i_0_4069,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_4070,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_4071,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_4072,plain,
    class_Groups_Osgn__if(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Osgn__if]),
    [final] ).

cnf(i_0_4073,plain,
    class_Groups_Osgn__if(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Osgn__if]),
    [final] ).

cnf(i_0_4074,plain,
    class_Groups_Omonoid__mult(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Omonoid__mult]),
    [final] ).

cnf(i_0_4075,plain,
    class_Groups_Omonoid__mult(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Omonoid__mult]),
    [final] ).

cnf(i_0_4076,plain,
    class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__mult]),
    [final] ).

cnf(i_0_4077,plain,
    class_Groups_Omonoid__mult(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Omonoid__mult]),
    [final] ).

cnf(i_0_4078,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_4079,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_4080,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_4081,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_4082,plain,
    class_Rings_Ocomm__semiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__semiring]),
    [final] ).

cnf(i_0_4083,plain,
    class_Rings_Ocomm__semiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ocomm__semiring]),
    [final] ).

cnf(i_0_4084,plain,
    class_Rings_Ocomm__semiring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring]),
    [final] ).

cnf(i_0_4085,plain,
    class_Rings_Ocomm__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring]),
    [final] ).

cnf(i_0_4086,plain,
    class_Rings_Osemiring(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Osemiring]),
    [final] ).

cnf(i_0_4087,plain,
    class_Rings_Osemiring(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Osemiring]),
    [final] ).

cnf(i_0_4088,plain,
    class_Rings_Osemiring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Osemiring]),
    [final] ).

cnf(i_0_4089,plain,
    class_Rings_Osemiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Osemiring]),
    [final] ).

cnf(i_0_4090,plain,
    class_Rings_Omult__zero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Omult__zero]),
    [final] ).

cnf(i_0_4091,plain,
    class_Rings_Omult__zero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Omult__zero]),
    [final] ).

cnf(i_0_4092,plain,
    class_Rings_Omult__zero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Omult__zero]),
    [final] ).

cnf(i_0_4093,plain,
    class_Rings_Omult__zero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Omult__zero]),
    [final] ).

cnf(i_0_4094,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_4095,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_4096,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_4097,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_4098,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_4099,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_4100,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_4101,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_4102,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_4103,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_4104,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_4105,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_4106,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_4107,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_4108,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_4109,plain,
    class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semiring__1__strict]),
    [final] ).

cnf(i_0_4110,plain,
    class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict]),
    [final] ).

cnf(i_0_4111,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_4112,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_4113,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_4114,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_4115,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_4116,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_4117,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_4118,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_4119,plain,
    class_Orderings_Oorder(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Oorder]),
    [final] ).

cnf(i_0_4120,plain,
    class_Orderings_Oorder(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Oorder]),
    [final] ).

cnf(i_0_4121,plain,
    class_Orderings_Oorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Oorder]),
    [final] ).

cnf(i_0_4122,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oorder]),
    [final] ).

cnf(i_0_4123,plain,
    class_Orderings_Olinorder(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Olinorder]),
    [final] ).

cnf(i_0_4124,plain,
    class_Orderings_Olinorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Olinorder]),
    [final] ).

cnf(i_0_4125,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]),
    [final] ).

cnf(i_0_4126,plain,
    class_Orderings_Oord(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Oord]),
    [final] ).

cnf(i_0_4127,plain,
    class_Orderings_Oord(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Oord]),
    [final] ).

cnf(i_0_4128,plain,
    class_Orderings_Oord(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Oord]),
    [final] ).

cnf(i_0_4129,plain,
    class_Orderings_Oord(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oord]),
    [final] ).

cnf(i_0_4130,plain,
    class_Orderings_Opreorder(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Opreorder]),
    [final] ).

cnf(i_0_4131,plain,
    class_Orderings_Opreorder(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Opreorder]),
    [final] ).

cnf(i_0_4132,plain,
    class_Orderings_Opreorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Opreorder]),
    [final] ).

cnf(i_0_4133,plain,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]),
    [final] ).

cnf(i_0_4134,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_4135,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_4136,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_4137,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_4138,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_4139,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_4140,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_4141,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_4142,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_4143,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_4144,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_4145,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_4146,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_4147,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_4148,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_4149,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_4150,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_4151,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_4152,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_4153,plain,
    class_Groups_Omonoid__add(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Omonoid__add]),
    [final] ).

cnf(i_0_4154,plain,
    class_Groups_Omonoid__add(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Omonoid__add]),
    [final] ).

cnf(i_0_4155,plain,
    class_Groups_Omonoid__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__add]),
    [final] ).

cnf(i_0_4156,plain,
    class_Groups_Omonoid__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Omonoid__add]),
    [final] ).

cnf(i_0_4157,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_4158,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_4159,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_4160,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_4161,plain,
    class_Groups_Oone(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oone]),
    [final] ).

cnf(i_0_4162,plain,
    class_Groups_Oone(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oone]),
    [final] ).

cnf(i_0_4163,plain,
    class_Groups_Oone(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oone]),
    [final] ).

cnf(i_0_4164,plain,
    class_Groups_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oone]),
    [final] ).

cnf(i_0_4165,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_4166,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_4167,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_4168,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_4169,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_4170,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_4171,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_4172,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_4173,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_4174,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_4175,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_4176,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_4177,plain,
    class_Rings_Olinordered__idom(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__idom]),
    [final] ).

cnf(i_0_4178,plain,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__idom]),
    [final] ).

cnf(i_0_4179,plain,
    class_Groups_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ozero]),
    [final] ).

cnf(i_0_4180,plain,
    class_Groups_Ozero(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ozero]),
    [final] ).

cnf(i_0_4181,plain,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]),
    [final] ).

cnf(i_0_4182,plain,
    class_Groups_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ozero]),
    [final] ).

cnf(i_0_4183,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_4184,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_4185,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_4186,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_4187,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_4188,plain,
    class_Rings_Olinordered__semidom(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semidom]),
    [final] ).

cnf(i_0_4189,plain,
    class_Rings_Olinordered__semidom(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semidom]),
    [final] ).

cnf(i_0_4190,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semidom]),
    [final] ).

cnf(i_0_4191,plain,
    c_SEQ_Osubseq(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_1465]),
    [final] ).

cnf(i_0_4192,plain,
    c_SEQ_Osubseq(v_ga____),
    inference(split_conjunct,[status(thm)],[fact_g_I1_J]),
    [final] ).

cnf(i_0_4193,plain,
    c_SEQ_Osubseq(v_f____),
    inference(split_conjunct,[status(thm)],[fact_f_I1_J]),
    [final] ).

cnf(i_0_4194,axiom,
    X1 = X1 ).

cnf(i_0_4195,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_4196,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_4197,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_4198,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_4199,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__rec(X1,X3,X4) = c_Complex_Ocomplex_Ocomplex__rec(X2,X3,X4) ) ).

cnf(i_0_4200,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__rec(X3,X1,X4) = c_Complex_Ocomplex_Ocomplex__rec(X3,X2,X4) ) ).

cnf(i_0_4201,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__rec(X3,X4,X1) = c_Complex_Ocomplex_Ocomplex__rec(X3,X4,X2) ) ).

cnf(i_0_4202,axiom,
    ( X1 != X2
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X3) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X3) ) ).

cnf(i_0_4203,axiom,
    ( X1 != X2
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X1) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X2) ) ).

cnf(i_0_4204,axiom,
    ( X1 != X2
    | c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).

cnf(i_0_4205,axiom,
    ( X1 != X2
    | c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).

cnf(i_0_4206,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__size(X1) = c_Complex_Ocomplex_Ocomplex__size(X2) ) ).

cnf(i_0_4207,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(X1,X3) = c_Orderings_Oord__class_Oless__eq(X2,X3) ) ).

cnf(i_0_4208,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(X3,X1) = c_Orderings_Oord__class_Oless__eq(X3,X2) ) ).

cnf(i_0_4209,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X1) = c_Power_Opower__class_Opower(X2) ) ).

cnf(i_0_4210,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless(X1,X3) = c_Orderings_Oord__class_Oless(X2,X3) ) ).

cnf(i_0_4211,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless(X3,X1) = c_Orderings_Oord__class_Oless(X3,X2) ) ).

cnf(i_0_4212,axiom,
    ( X1 != X2
    | c_RealDef_Oreal(X1,X3) = c_RealDef_Oreal(X2,X3) ) ).

cnf(i_0_4213,axiom,
    ( X1 != X2
    | c_RealDef_Oreal(X3,X1) = c_RealDef_Oreal(X3,X2) ) ).

cnf(i_0_4214,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X1,X3,X4) = c_Groups_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_4215,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X3,X1,X4) = c_Groups_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_4216,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X3,X4,X1) = c_Groups_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_4217,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Odiv(X1,X3,X4) = c_Divides_Odiv__class_Odiv(X2,X3,X4) ) ).

cnf(i_0_4218,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Odiv(X3,X1,X4) = c_Divides_Odiv__class_Odiv(X3,X2,X4) ) ).

cnf(i_0_4219,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Odiv(X3,X4,X1) = c_Divides_Odiv__class_Odiv(X3,X4,X2) ) ).

cnf(i_0_4220,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_OComplex(X1,X3) = c_Complex_Ocomplex_OComplex(X2,X3) ) ).

cnf(i_0_4221,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_OComplex(X3,X1) = c_Complex_Ocomplex_OComplex(X3,X2) ) ).

cnf(i_0_4222,axiom,
    ( X1 != X2
    | c_Complex_Orcis(X1,X3) = c_Complex_Orcis(X2,X3) ) ).

cnf(i_0_4223,axiom,
    ( X1 != X2
    | c_Complex_Orcis(X3,X1) = c_Complex_Orcis(X3,X2) ) ).

cnf(i_0_4224,axiom,
    ( X1 != X2
    | c_RComplete_Onatfloor(X1) = c_RComplete_Onatfloor(X2) ) ).

cnf(i_0_4225,axiom,
    ( X1 != X2
    | c_Groups_Oabs__class_Oabs(X1,X3) = c_Groups_Oabs__class_Oabs(X2,X3) ) ).

cnf(i_0_4226,axiom,
    ( X1 != X2
    | c_Groups_Oabs__class_Oabs(X3,X1) = c_Groups_Oabs__class_Oabs(X3,X2) ) ).

cnf(i_0_4227,axiom,
    ( X1 != X2
    | c_Transcendental_Oln(X1) = c_Transcendental_Oln(X2) ) ).

cnf(i_0_4228,axiom,
    ( X1 != X2
    | c_RComplete_Onatceiling(X1) = c_RComplete_Onatceiling(X2) ) ).

cnf(i_0_4229,axiom,
    ( X1 != X2
    | c_Power_Opower_Opower(X1,X3,X4) = c_Power_Opower_Opower(X2,X3,X4) ) ).

cnf(i_0_4230,axiom,
    ( X1 != X2
    | c_Power_Opower_Opower(X3,X1,X4) = c_Power_Opower_Opower(X3,X2,X4) ) ).

cnf(i_0_4231,axiom,
    ( X1 != X2
    | c_Power_Opower_Opower(X3,X4,X1) = c_Power_Opower_Opower(X3,X4,X2) ) ).

cnf(i_0_4232,axiom,
    ( X1 != X2
    | c_Groups_Oone__class_Oone(X1) = c_Groups_Oone__class_Oone(X2) ) ).

cnf(i_0_4233,axiom,
    ( X1 != X2
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ozero__class_Ozero(X2) ) ).

cnf(i_0_4234,axiom,
    ( X1 != X2
    | esk56_2(X1,X3) = esk56_2(X2,X3) ) ).

cnf(i_0_4235,axiom,
    ( X1 != X2
    | esk56_2(X3,X1) = esk56_2(X3,X2) ) ).

cnf(i_0_4236,axiom,
    ( X1 != X2
    | c_Nat__Transfer_Otsub(X1,X3) = c_Nat__Transfer_Otsub(X2,X3) ) ).

cnf(i_0_4237,axiom,
    ( X1 != X2
    | c_Nat__Transfer_Otsub(X3,X1) = c_Nat__Transfer_Otsub(X3,X2) ) ).

cnf(i_0_4238,axiom,
    ( X1 != X2
    | c_Groups_Osgn__class_Osgn(X1,X3) = c_Groups_Osgn__class_Osgn(X2,X3) ) ).

cnf(i_0_4239,axiom,
    ( X1 != X2
    | c_Groups_Osgn__class_Osgn(X3,X1) = c_Groups_Osgn__class_Osgn(X3,X2) ) ).

cnf(i_0_4240,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).

cnf(i_0_4241,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).

cnf(i_0_4242,axiom,
    ( X1 != X2
    | c_Complex_Oexpi(X1) = c_Complex_Oexpi(X2) ) ).

cnf(i_0_4243,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__case(X1,X3,X4) = c_Complex_Ocomplex_Ocomplex__case(X2,X3,X4) ) ).

cnf(i_0_4244,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__case(X3,X1,X4) = c_Complex_Ocomplex_Ocomplex__case(X3,X2,X4) ) ).

cnf(i_0_4245,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__case(X3,X4,X1) = c_Complex_Ocomplex_Ocomplex__case(X3,X4,X2) ) ).

cnf(i_0_4246,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_4247,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__field(X1)
    | class_RealVector_Oreal__normed__field(X2) ) ).

cnf(i_0_4248,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__field(X1)
    | class_RealVector_Oreal__field(X2) ) ).

cnf(i_0_4249,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | class_Rings_Olinordered__ring__strict(X2) ) ).

cnf(i_0_4250,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__ring(X1)
    | class_Rings_Olinordered__ring(X2) ) ).

cnf(i_0_4251,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring__1__strict(X1)
    | class_Rings_Olinordered__semiring__1__strict(X2) ) ).

cnf(i_0_4252,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring__1(X1)
    | class_Rings_Olinordered__semiring__1(X2) ) ).

cnf(i_0_4253,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semidom(X1)
    | class_Rings_Olinordered__semidom(X2) ) ).

cnf(i_0_4254,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_4255,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__ring__1(X1)
    | class_Rings_Ocomm__ring__1(X2) ) ).

cnf(i_0_4256,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__idom(X1)
    | class_Rings_Olinordered__idom(X2) ) ).

cnf(i_0_4257,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | class_RealVector_Oreal__normed__vector(X2) ) ).

cnf(i_0_4258,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring(X1)
    | class_Rings_Oring(X2) ) ).

cnf(i_0_4259,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring(X1)
    | class_Rings_Osemiring(X2) ) ).

cnf(i_0_4260,axiom,
    ( X1 != X2
    | ~ epred1_3(X1,X3,X4)
    | epred1_3(X2,X3,X4) ) ).

cnf(i_0_4261,axiom,
    ( X1 != X2
    | ~ epred1_3(X3,X1,X4)
    | epred1_3(X3,X2,X4) ) ).

cnf(i_0_4262,axiom,
    ( X1 != X2
    | ~ epred1_3(X3,X4,X1)
    | epred1_3(X3,X4,X2) ) ).

cnf(i_0_4263,axiom,
    ( X1 != X2
    | ~ class_Fields_Olinordered__field(X1)
    | class_Fields_Olinordered__field(X2) ) ).

cnf(i_0_4264,axiom,
    ( X1 != X2
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | class_Fields_Olinordered__field__inverse__zero(X2) ) ).

cnf(i_0_4265,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra__1(X1)
    | class_RealVector_Oreal__normed__algebra__1(X2) ) ).

cnf(i_0_4266,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring(X1)
    | class_Rings_Olinordered__semiring(X2) ) ).

cnf(i_0_4267,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | class_Rings_Olinordered__semiring__strict(X2) ) ).

cnf(i_0_4268,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__semiring(X1)
    | class_Rings_Oordered__semiring(X2) ) ).

cnf(i_0_4269,axiom,
    ( X1 != X2
    | ~ c_SEQ_Osubseq(X1)
    | c_SEQ_Osubseq(X2) ) ).

cnf(i_0_4270,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_4271,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | class_Groups_Oordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_4272,axiom,
    ( X1 != X2
    | ~ class_Groups_Omonoid__mult(X1)
    | class_Groups_Omonoid__mult(X2) ) ).

cnf(i_0_4273,axiom,
    ( X1 != X2
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ) ).

cnf(i_0_4274,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__comm__semiring__strict(X1)
    | class_Rings_Olinordered__comm__semiring__strict(X2) ) ).

cnf(i_0_4275,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | class_Rings_Oordered__comm__semiring(X2) ) ).

cnf(i_0_4276,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | class_Groups_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_4277,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | class_Groups_Oordered__ab__semigroup__add(X2) ) ).

cnf(i_0_4278,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | class_Rings_Ocomm__semiring__1(X2) ) ).

cnf(i_0_4279,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | class_Groups_Oordered__ab__group__add(X2) ) ).

cnf(i_0_4280,axiom,
    ( X1 != X2
    | ~ class_Groups_Olinordered__ab__group__add(X1)
    | class_Groups_Olinordered__ab__group__add(X2) ) ).

cnf(i_0_4281,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__ring(X1)
    | class_Rings_Oordered__ring(X2) ) ).

cnf(i_0_4282,axiom,
    ( X1 != X2
    | ~ c_SEQ_Oincseq(X1,X3)
    | c_SEQ_Oincseq(X2,X3) ) ).

cnf(i_0_4283,axiom,
    ( X1 != X2
    | ~ c_SEQ_Oincseq(X3,X1)
    | c_SEQ_Oincseq(X3,X2) ) ).

cnf(i_0_4284,axiom,
    ( X1 != X2
    | ~ c_SEQ_Odecseq(X1,X3)
    | c_SEQ_Odecseq(X2,X3) ) ).

cnf(i_0_4285,axiom,
    ( X1 != X2
    | ~ c_SEQ_Odecseq(X3,X1)
    | c_SEQ_Odecseq(X3,X2) ) ).

cnf(i_0_4286,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | class_Rings_Oordered__cancel__semiring(X2) ) ).

cnf(i_0_4287,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | class_Groups_Oordered__comm__monoid__add(X2) ) ).

cnf(i_0_4288,axiom,
    ( X1 != X2
    | ~ class_Fields_Ofield(X1)
    | class_Fields_Ofield(X2) ) ).

cnf(i_0_4289,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__group__add(X1)
    | class_Groups_Oab__group__add(X2) ) ).

cnf(i_0_4290,axiom,
    ( X1 != X2
    | ~ class_Rings_Odivision__ring(X1)
    | class_Rings_Odivision__ring(X2) ) ).

cnf(i_0_4291,axiom,
    ( X1 != X2
    | ~ class_Fields_Ofield__inverse__zero(X1)
    | class_Fields_Ofield__inverse__zero(X2) ) ).

cnf(i_0_4292,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocomm__monoid__mult(X1)
    | class_Groups_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_4293,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring(X1)
    | class_Rings_Ocomm__semiring(X2) ) ).

cnf(i_0_4294,axiom,
    ( X1 != X2
    | ~ c_SEQ_Omonoseq(X1,X3)
    | c_SEQ_Omonoseq(X2,X3) ) ).

cnf(i_0_4295,axiom,
    ( X1 != X2
    | ~ c_SEQ_Omonoseq(X3,X1)
    | c_SEQ_Omonoseq(X3,X2) ) ).

cnf(i_0_4296,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__ring__abs(X1)
    | class_Rings_Oordered__ring__abs(X2) ) ).

cnf(i_0_4297,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__1(X1)
    | class_Rings_Oring__1(X2) ) ).

cnf(i_0_4298,axiom,
    ( X1 != X2
    | ~ class_Divides_Osemiring__div(X1)
    | class_Divides_Osemiring__div(X2) ) ).

cnf(i_0_4299,axiom,
    ( X1 != X2
    | ~ class_Power_Opower(X1)
    | class_Power_Opower(X2) ) ).

cnf(i_0_4300,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__semigroup__mult(X1)
    | class_Groups_Oab__semigroup__mult(X2) ) ).

cnf(i_0_4301,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__semigroup__add(X1)
    | class_Groups_Oab__semigroup__add(X2) ) ).

cnf(i_0_4302,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_4303,axiom,
    ( X1 != X2
    | ~ class_Groups_Ogroup__add(X1)
    | class_Groups_Ogroup__add(X2) ) ).

cnf(i_0_4304,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_4305,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__div__algebra(X1)
    | class_RealVector_Oreal__normed__div__algebra(X2) ) ).

cnf(i_0_4306,axiom,
    ( X1 != X2
    | ~ c_SEQ_OBseq(X1,X3)
    | c_SEQ_OBseq(X2,X3) ) ).

cnf(i_0_4307,axiom,
    ( X1 != X2
    | ~ c_SEQ_OBseq(X3,X1)
    | c_SEQ_OBseq(X3,X2) ) ).

cnf(i_0_4308,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring__0(X1)
    | class_Rings_Osemiring__0(X2) ) ).

cnf(i_0_4309,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | class_Groups_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_4310,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1)
    | class_Groups_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_4311,axiom,
    ( X1 != X2
    | ~ class_RealVector_Ometric__space(X1)
    | class_RealVector_Ometric__space(X2) ) ).

cnf(i_0_4312,axiom,
    ( X1 != X2
    | ~ class_Rings_Omult__zero(X1)
    | class_Rings_Omult__zero(X2) ) ).

cnf(i_0_4313,axiom,
    ( X1 != X2
    | ~ class_Rings_Ono__zero__divisors(X1)
    | class_Rings_Ono__zero__divisors(X2) ) ).

cnf(i_0_4314,axiom,
    ( X1 != X2
    | ~ class_Rings_Ozero__neq__one(X1)
    | class_Rings_Ozero__neq__one(X2) ) ).

cnf(i_0_4315,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__no__zero__divisors(X1)
    | class_Rings_Oring__no__zero__divisors(X2) ) ).

cnf(i_0_4316,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | class_Rings_Oring__1__no__zero__divisors(X2) ) ).

cnf(i_0_4317,axiom,
    ( X1 != X2
    | ~ class_Groups_Omonoid__add(X1)
    | class_Groups_Omonoid__add(X2) ) ).

cnf(i_0_4318,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | class_RealVector_Oreal__normed__algebra(X2) ) ).

cnf(i_0_4319,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocomm__monoid__add(X1)
    | class_Groups_Ocomm__monoid__add(X2) ) ).

cnf(i_0_4320,axiom,
    ( X1 != X2
    | ~ class_Rings_Odivision__ring__inverse__zero(X1)
    | class_Rings_Odivision__ring__inverse__zero(X2) ) ).

cnf(i_0_4321,axiom,
    ( X1 != X2
    | ~ class_Groups_Ozero(X1)
    | class_Groups_Ozero(X2) ) ).

cnf(i_0_4322,axiom,
    ( X1 != X2
    | ~ class_Groups_Osgn__if(X1)
    | class_Groups_Osgn__if(X2) ) ).

cnf(i_0_4323,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__ring(X1)
    | class_Rings_Ocomm__ring(X2) ) ).

cnf(i_0_4324,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring__0(X1)
    | class_Rings_Ocomm__semiring__0(X2) ) ).

cnf(i_0_4325,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__comm__monoid__add(X1)
    | class_Groups_Ocancel__comm__monoid__add(X2) ) ).

cnf(i_0_4326,axiom,
    ( X1 != X2
    | ~ class_Rings_Oidom(X1)
    | class_Rings_Oidom(X2) ) ).

cnf(i_0_4327,axiom,
    ( X1 != X2
    | ~ class_Groups_Oone(X1)
    | class_Groups_Oone(X2) ) ).

cnf(i_0_4328,axiom,
    ( X1 != X2
    | ~ c_SEQ_Oconvergent(X1,X3)
    | c_SEQ_Oconvergent(X2,X3) ) ).

cnf(i_0_4329,axiom,
    ( X1 != X2
    | ~ c_SEQ_Oconvergent(X3,X1)
    | c_SEQ_Oconvergent(X3,X2) ) ).

cnf(i_0_4330,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | class_Groups_Oordered__ab__group__add__abs(X2) ) ).

cnf(i_0_4194_001,axiom,
    X1 = X1 ).

cnf(i_0_4195_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_4196_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_4197_004,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_4198_005,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_4199_006,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__rec(X1,X3,X4) = c_Complex_Ocomplex_Ocomplex__rec(X2,X3,X4) ) ).

cnf(i_0_4200_007,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__rec(X3,X1,X4) = c_Complex_Ocomplex_Ocomplex__rec(X3,X2,X4) ) ).

cnf(i_0_4201_008,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__rec(X3,X4,X1) = c_Complex_Ocomplex_Ocomplex__rec(X3,X4,X2) ) ).

cnf(i_0_4202_009,axiom,
    ( X1 != X2
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X3) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X3) ) ).

cnf(i_0_4203_010,axiom,
    ( X1 != X2
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X1) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X2) ) ).

cnf(i_0_4204_011,axiom,
    ( X1 != X2
    | c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).

cnf(i_0_4205_012,axiom,
    ( X1 != X2
    | c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).

cnf(i_0_4206_013,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__size(X1) = c_Complex_Ocomplex_Ocomplex__size(X2) ) ).

cnf(i_0_4207_014,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(X1,X3) = c_Orderings_Oord__class_Oless__eq(X2,X3) ) ).

cnf(i_0_4208_015,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(X3,X1) = c_Orderings_Oord__class_Oless__eq(X3,X2) ) ).

cnf(i_0_4209_016,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X1) = c_Power_Opower__class_Opower(X2) ) ).

cnf(i_0_4210_017,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless(X1,X3) = c_Orderings_Oord__class_Oless(X2,X3) ) ).

cnf(i_0_4211_018,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless(X3,X1) = c_Orderings_Oord__class_Oless(X3,X2) ) ).

cnf(i_0_4212_019,axiom,
    ( X1 != X2
    | c_RealDef_Oreal(X1,X3) = c_RealDef_Oreal(X2,X3) ) ).

cnf(i_0_4213_020,axiom,
    ( X1 != X2
    | c_RealDef_Oreal(X3,X1) = c_RealDef_Oreal(X3,X2) ) ).

cnf(i_0_4214_021,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X1,X3,X4) = c_Groups_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_4215_022,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X3,X1,X4) = c_Groups_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_4216_023,axiom,
    ( X1 != X2
    | c_Groups_Ominus__class_Ominus(X3,X4,X1) = c_Groups_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_4217_024,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Odiv(X1,X3,X4) = c_Divides_Odiv__class_Odiv(X2,X3,X4) ) ).

cnf(i_0_4218_025,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Odiv(X3,X1,X4) = c_Divides_Odiv__class_Odiv(X3,X2,X4) ) ).

cnf(i_0_4219_026,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Odiv(X3,X4,X1) = c_Divides_Odiv__class_Odiv(X3,X4,X2) ) ).

cnf(i_0_4220_027,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_OComplex(X1,X3) = c_Complex_Ocomplex_OComplex(X2,X3) ) ).

cnf(i_0_4221_028,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_OComplex(X3,X1) = c_Complex_Ocomplex_OComplex(X3,X2) ) ).

cnf(i_0_4222_029,axiom,
    ( X1 != X2
    | c_Complex_Orcis(X1,X3) = c_Complex_Orcis(X2,X3) ) ).

cnf(i_0_4223_030,axiom,
    ( X1 != X2
    | c_Complex_Orcis(X3,X1) = c_Complex_Orcis(X3,X2) ) ).

cnf(i_0_4224_031,axiom,
    ( X1 != X2
    | c_RComplete_Onatfloor(X1) = c_RComplete_Onatfloor(X2) ) ).

cnf(i_0_4225_032,axiom,
    ( X1 != X2
    | c_Groups_Oabs__class_Oabs(X1,X3) = c_Groups_Oabs__class_Oabs(X2,X3) ) ).

cnf(i_0_4226_033,axiom,
    ( X1 != X2
    | c_Groups_Oabs__class_Oabs(X3,X1) = c_Groups_Oabs__class_Oabs(X3,X2) ) ).

cnf(i_0_4227_034,axiom,
    ( X1 != X2
    | c_Transcendental_Oln(X1) = c_Transcendental_Oln(X2) ) ).

cnf(i_0_4228_035,axiom,
    ( X1 != X2
    | c_RComplete_Onatceiling(X1) = c_RComplete_Onatceiling(X2) ) ).

cnf(i_0_4229_036,axiom,
    ( X1 != X2
    | c_Power_Opower_Opower(X1,X3,X4) = c_Power_Opower_Opower(X2,X3,X4) ) ).

cnf(i_0_4230_037,axiom,
    ( X1 != X2
    | c_Power_Opower_Opower(X3,X1,X4) = c_Power_Opower_Opower(X3,X2,X4) ) ).

cnf(i_0_4231_038,axiom,
    ( X1 != X2
    | c_Power_Opower_Opower(X3,X4,X1) = c_Power_Opower_Opower(X3,X4,X2) ) ).

cnf(i_0_4232_039,axiom,
    ( X1 != X2
    | c_Groups_Oone__class_Oone(X1) = c_Groups_Oone__class_Oone(X2) ) ).

cnf(i_0_4233_040,axiom,
    ( X1 != X2
    | c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ozero__class_Ozero(X2) ) ).

cnf(i_0_4234_041,axiom,
    ( X1 != X2
    | esk56_2(X1,X3) = esk56_2(X2,X3) ) ).

cnf(i_0_4235_042,axiom,
    ( X1 != X2
    | esk56_2(X3,X1) = esk56_2(X3,X2) ) ).

cnf(i_0_4236_043,axiom,
    ( X1 != X2
    | c_Nat__Transfer_Otsub(X1,X3) = c_Nat__Transfer_Otsub(X2,X3) ) ).

cnf(i_0_4237_044,axiom,
    ( X1 != X2
    | c_Nat__Transfer_Otsub(X3,X1) = c_Nat__Transfer_Otsub(X3,X2) ) ).

cnf(i_0_4238_045,axiom,
    ( X1 != X2
    | c_Groups_Osgn__class_Osgn(X1,X3) = c_Groups_Osgn__class_Osgn(X2,X3) ) ).

cnf(i_0_4239_046,axiom,
    ( X1 != X2
    | c_Groups_Osgn__class_Osgn(X3,X1) = c_Groups_Osgn__class_Osgn(X3,X2) ) ).

cnf(i_0_4240_047,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).

cnf(i_0_4241_048,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).

cnf(i_0_4242_049,axiom,
    ( X1 != X2
    | c_Complex_Oexpi(X1) = c_Complex_Oexpi(X2) ) ).

cnf(i_0_4243_050,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__case(X1,X3,X4) = c_Complex_Ocomplex_Ocomplex__case(X2,X3,X4) ) ).

cnf(i_0_4244_051,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__case(X3,X1,X4) = c_Complex_Ocomplex_Ocomplex__case(X3,X2,X4) ) ).

cnf(i_0_4245_052,axiom,
    ( X1 != X2
    | c_Complex_Ocomplex_Ocomplex__case(X3,X4,X1) = c_Complex_Ocomplex_Ocomplex__case(X3,X4,X2) ) ).

cnf(i_0_4246_053,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_4247_054,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__field(X1)
    | class_RealVector_Oreal__normed__field(X2) ) ).

cnf(i_0_4248_055,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__field(X1)
    | class_RealVector_Oreal__field(X2) ) ).

cnf(i_0_4249_056,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__ring__strict(X1)
    | class_Rings_Olinordered__ring__strict(X2) ) ).

cnf(i_0_4250_057,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__ring(X1)
    | class_Rings_Olinordered__ring(X2) ) ).

cnf(i_0_4251_058,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring__1__strict(X1)
    | class_Rings_Olinordered__semiring__1__strict(X2) ) ).

cnf(i_0_4252_059,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring__1(X1)
    | class_Rings_Olinordered__semiring__1(X2) ) ).

cnf(i_0_4253_060,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semidom(X1)
    | class_Rings_Olinordered__semidom(X2) ) ).

cnf(i_0_4254_061,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_4255_062,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__ring__1(X1)
    | class_Rings_Ocomm__ring__1(X2) ) ).

cnf(i_0_4256_063,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__idom(X1)
    | class_Rings_Olinordered__idom(X2) ) ).

cnf(i_0_4257_064,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | class_RealVector_Oreal__normed__vector(X2) ) ).

cnf(i_0_4258_065,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring(X1)
    | class_Rings_Oring(X2) ) ).

cnf(i_0_4259_066,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring(X1)
    | class_Rings_Osemiring(X2) ) ).

cnf(i_0_4260_067,axiom,
    ( X1 != X2
    | ~ epred1_3(X1,X3,X4)
    | epred1_3(X2,X3,X4) ) ).

cnf(i_0_4261_068,axiom,
    ( X1 != X2
    | ~ epred1_3(X3,X1,X4)
    | epred1_3(X3,X2,X4) ) ).

cnf(i_0_4262_069,axiom,
    ( X1 != X2
    | ~ epred1_3(X3,X4,X1)
    | epred1_3(X3,X4,X2) ) ).

cnf(i_0_4263_070,axiom,
    ( X1 != X2
    | ~ class_Fields_Olinordered__field(X1)
    | class_Fields_Olinordered__field(X2) ) ).

cnf(i_0_4264_071,axiom,
    ( X1 != X2
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | class_Fields_Olinordered__field__inverse__zero(X2) ) ).

cnf(i_0_4265_072,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra__1(X1)
    | class_RealVector_Oreal__normed__algebra__1(X2) ) ).

cnf(i_0_4266_073,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring(X1)
    | class_Rings_Olinordered__semiring(X2) ) ).

cnf(i_0_4267_074,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__semiring__strict(X1)
    | class_Rings_Olinordered__semiring__strict(X2) ) ).

cnf(i_0_4268_075,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__semiring(X1)
    | class_Rings_Oordered__semiring(X2) ) ).

cnf(i_0_4269_076,axiom,
    ( X1 != X2
    | ~ c_SEQ_Osubseq(X1)
    | c_SEQ_Osubseq(X2) ) ).

cnf(i_0_4270_077,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_4271_078,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
    | class_Groups_Oordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_4272_079,axiom,
    ( X1 != X2
    | ~ class_Groups_Omonoid__mult(X1)
    | class_Groups_Omonoid__mult(X2) ) ).

cnf(i_0_4273_080,axiom,
    ( X1 != X2
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ) ).

cnf(i_0_4274_081,axiom,
    ( X1 != X2
    | ~ class_Rings_Olinordered__comm__semiring__strict(X1)
    | class_Rings_Olinordered__comm__semiring__strict(X2) ) ).

cnf(i_0_4275_082,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__comm__semiring(X1)
    | class_Rings_Oordered__comm__semiring(X2) ) ).

cnf(i_0_4276_083,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1)
    | class_Groups_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_4277_084,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__semigroup__add(X1)
    | class_Groups_Oordered__ab__semigroup__add(X2) ) ).

cnf(i_0_4278_085,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | class_Rings_Ocomm__semiring__1(X2) ) ).

cnf(i_0_4279_086,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | class_Groups_Oordered__ab__group__add(X2) ) ).

cnf(i_0_4280_087,axiom,
    ( X1 != X2
    | ~ class_Groups_Olinordered__ab__group__add(X1)
    | class_Groups_Olinordered__ab__group__add(X2) ) ).

cnf(i_0_4281_088,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__ring(X1)
    | class_Rings_Oordered__ring(X2) ) ).

cnf(i_0_4282_089,axiom,
    ( X1 != X2
    | ~ c_SEQ_Oincseq(X1,X3)
    | c_SEQ_Oincseq(X2,X3) ) ).

cnf(i_0_4283_090,axiom,
    ( X1 != X2
    | ~ c_SEQ_Oincseq(X3,X1)
    | c_SEQ_Oincseq(X3,X2) ) ).

cnf(i_0_4284_091,axiom,
    ( X1 != X2
    | ~ c_SEQ_Odecseq(X1,X3)
    | c_SEQ_Odecseq(X2,X3) ) ).

cnf(i_0_4285_092,axiom,
    ( X1 != X2
    | ~ c_SEQ_Odecseq(X3,X1)
    | c_SEQ_Odecseq(X3,X2) ) ).

cnf(i_0_4286_093,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__cancel__semiring(X1)
    | class_Rings_Oordered__cancel__semiring(X2) ) ).

cnf(i_0_4287_094,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__comm__monoid__add(X1)
    | class_Groups_Oordered__comm__monoid__add(X2) ) ).

cnf(i_0_4288_095,axiom,
    ( X1 != X2
    | ~ class_Fields_Ofield(X1)
    | class_Fields_Ofield(X2) ) ).

cnf(i_0_4289_096,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__group__add(X1)
    | class_Groups_Oab__group__add(X2) ) ).

cnf(i_0_4290_097,axiom,
    ( X1 != X2
    | ~ class_Rings_Odivision__ring(X1)
    | class_Rings_Odivision__ring(X2) ) ).

cnf(i_0_4291_098,axiom,
    ( X1 != X2
    | ~ class_Fields_Ofield__inverse__zero(X1)
    | class_Fields_Ofield__inverse__zero(X2) ) ).

cnf(i_0_4292_099,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocomm__monoid__mult(X1)
    | class_Groups_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_4293_100,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring(X1)
    | class_Rings_Ocomm__semiring(X2) ) ).

cnf(i_0_4294_101,axiom,
    ( X1 != X2
    | ~ c_SEQ_Omonoseq(X1,X3)
    | c_SEQ_Omonoseq(X2,X3) ) ).

cnf(i_0_4295_102,axiom,
    ( X1 != X2
    | ~ c_SEQ_Omonoseq(X3,X1)
    | c_SEQ_Omonoseq(X3,X2) ) ).

cnf(i_0_4296_103,axiom,
    ( X1 != X2
    | ~ class_Rings_Oordered__ring__abs(X1)
    | class_Rings_Oordered__ring__abs(X2) ) ).

cnf(i_0_4297_104,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__1(X1)
    | class_Rings_Oring__1(X2) ) ).

cnf(i_0_4298_105,axiom,
    ( X1 != X2
    | ~ class_Divides_Osemiring__div(X1)
    | class_Divides_Osemiring__div(X2) ) ).

cnf(i_0_4299_106,axiom,
    ( X1 != X2
    | ~ class_Power_Opower(X1)
    | class_Power_Opower(X2) ) ).

cnf(i_0_4300_107,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__semigroup__mult(X1)
    | class_Groups_Oab__semigroup__mult(X2) ) ).

cnf(i_0_4301_108,axiom,
    ( X1 != X2
    | ~ class_Groups_Oab__semigroup__add(X1)
    | class_Groups_Oab__semigroup__add(X2) ) ).

cnf(i_0_4302_109,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_4303_110,axiom,
    ( X1 != X2
    | ~ class_Groups_Ogroup__add(X1)
    | class_Groups_Ogroup__add(X2) ) ).

cnf(i_0_4304_111,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_4305_112,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__div__algebra(X1)
    | class_RealVector_Oreal__normed__div__algebra(X2) ) ).

cnf(i_0_4306_113,axiom,
    ( X1 != X2
    | ~ c_SEQ_OBseq(X1,X3)
    | c_SEQ_OBseq(X2,X3) ) ).

cnf(i_0_4307_114,axiom,
    ( X1 != X2
    | ~ c_SEQ_OBseq(X3,X1)
    | c_SEQ_OBseq(X3,X2) ) ).

cnf(i_0_4308_115,axiom,
    ( X1 != X2
    | ~ class_Rings_Osemiring__0(X1)
    | class_Rings_Osemiring__0(X2) ) ).

cnf(i_0_4309_116,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__semigroup__add(X1)
    | class_Groups_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_4310_117,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1)
    | class_Groups_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_4311_118,axiom,
    ( X1 != X2
    | ~ class_RealVector_Ometric__space(X1)
    | class_RealVector_Ometric__space(X2) ) ).

cnf(i_0_4312_119,axiom,
    ( X1 != X2
    | ~ class_Rings_Omult__zero(X1)
    | class_Rings_Omult__zero(X2) ) ).

cnf(i_0_4313_120,axiom,
    ( X1 != X2
    | ~ class_Rings_Ono__zero__divisors(X1)
    | class_Rings_Ono__zero__divisors(X2) ) ).

cnf(i_0_4314_121,axiom,
    ( X1 != X2
    | ~ class_Rings_Ozero__neq__one(X1)
    | class_Rings_Ozero__neq__one(X2) ) ).

cnf(i_0_4315_122,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__no__zero__divisors(X1)
    | class_Rings_Oring__no__zero__divisors(X2) ) ).

cnf(i_0_4316_123,axiom,
    ( X1 != X2
    | ~ class_Rings_Oring__1__no__zero__divisors(X1)
    | class_Rings_Oring__1__no__zero__divisors(X2) ) ).

cnf(i_0_4317_124,axiom,
    ( X1 != X2
    | ~ class_Groups_Omonoid__add(X1)
    | class_Groups_Omonoid__add(X2) ) ).

cnf(i_0_4318_125,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | class_RealVector_Oreal__normed__algebra(X2) ) ).

cnf(i_0_4319_126,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocomm__monoid__add(X1)
    | class_Groups_Ocomm__monoid__add(X2) ) ).

cnf(i_0_4320_127,axiom,
    ( X1 != X2
    | ~ class_Rings_Odivision__ring__inverse__zero(X1)
    | class_Rings_Odivision__ring__inverse__zero(X2) ) ).

cnf(i_0_4321_128,axiom,
    ( X1 != X2
    | ~ class_Groups_Ozero(X1)
    | class_Groups_Ozero(X2) ) ).

cnf(i_0_4322_129,axiom,
    ( X1 != X2
    | ~ class_Groups_Osgn__if(X1)
    | class_Groups_Osgn__if(X2) ) ).

cnf(i_0_4323_130,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__ring(X1)
    | class_Rings_Ocomm__ring(X2) ) ).

cnf(i_0_4324_131,axiom,
    ( X1 != X2
    | ~ class_Rings_Ocomm__semiring__0(X1)
    | class_Rings_Ocomm__semiring__0(X2) ) ).

cnf(i_0_4325_132,axiom,
    ( X1 != X2
    | ~ class_Groups_Ocancel__comm__monoid__add(X1)
    | class_Groups_Ocancel__comm__monoid__add(X2) ) ).

cnf(i_0_4326_133,axiom,
    ( X1 != X2
    | ~ class_Rings_Oidom(X1)
    | class_Rings_Oidom(X2) ) ).

cnf(i_0_4327_134,axiom,
    ( X1 != X2
    | ~ class_Groups_Oone(X1)
    | class_Groups_Oone(X2) ) ).

cnf(i_0_4328_135,axiom,
    ( X1 != X2
    | ~ c_SEQ_Oconvergent(X1,X3)
    | c_SEQ_Oconvergent(X2,X3) ) ).

cnf(i_0_4329_136,axiom,
    ( X1 != X2
    | ~ c_SEQ_Oconvergent(X3,X1)
    | c_SEQ_Oconvergent(X3,X2) ) ).

cnf(i_0_4330_137,axiom,
    ( X1 != X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | class_Groups_Oordered__ab__group__add__abs(X2) ) ).

cnf(i_0_4331,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(equality_inference,[],[2581]) ).

cnf(i_0_4332,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),X1))) ),
    inference(equality_inference,[],[2605]) ).

cnf(i_0_4333,plain,
    ( ~ class_Rings_Oring(X1)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3)),X4)) ),
    inference(equality_inference,[],[2623]) ).

cnf(i_0_4334,plain,
    ( ~ class_Rings_Oring(X1)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X4,X2)),X3)),X5)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X5) ),
    inference(equality_inference,[],[2624]) ).

cnf(i_0_4335,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X3)),X4)) ),
    inference(equality_inference,[],[2625]) ).

cnf(i_0_4336,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X3)),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X4) ),
    inference(equality_inference,[],[2626]) ).

cnf(i_0_4337,plain,
    ( ~ class_Rings_Oring(X1)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X2)),X3)),X4) = X4 ),
    inference(equality_inference,[],[2640]) ).

cnf(i_0_4338,plain,
    ( ~ class_Rings_Oring(X1)
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X3,X3)),X4)),X2) ),
    inference(equality_inference,[],[2641]) ).

cnf(i_0_4339,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X2)),X3) = X3 ),
    inference(equality_inference,[],[2645]) ).

cnf(i_0_4340,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X3)),X2) ),
    inference(equality_inference,[],[2646]) ).

cnf(i_0_4341,plain,
    ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | X2 = X3
    | X4 = X4 ),
    inference(equality_inference,[],[2764]) ).

cnf(i_0_4342,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1) = X2
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X3),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)) ),
    inference(equality_inference,[],[2852]) ).

cnf(i_0_4343,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(X2,X3))
    | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4),X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4),X1)) ),
    inference(equality_inference,[],[2868]) ).

cnf(i_0_4344,plain,
    ( ~ epred1_3(X1,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),X4))
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4)) ),
    inference(equality_inference,[],[2886]) ).

cnf(i_0_4345,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
    inference(equality_inference,[],[2892]) ).

cnf(i_0_4346,plain,
    ( ~ epred1_3(X1,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)),X4))
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(equality_inference,[],[2899]) ).

cnf(i_0_4347,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1) = X2
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X3),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3)) ),
    inference(equality_inference,[],[2927]) ).

cnf(i_0_4348,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | X2 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2)) ),
    inference(equality_inference,[],[2928]) ).

cnf(i_0_4349,plain,
    ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3),X1) = X2
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(equality_inference,[],[2963]) ).

cnf(i_0_4350,plain,
    X1 = X1,
    inference(equality_inference,[],[2964]) ).

cnf(i_0_4351,plain,
    ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(equality_inference,[],[2982]) ).

cnf(i_0_4352,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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,[],[2987]) ).

cnf(i_0_4353,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))),X2)) ),
    inference(equality_inference,[],[3020]) ).

cnf(i_0_4354,plain,
    ( X1 = X1
    | ~ class_Rings_Olinordered__semidom(X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)) ),
    inference(equality_inference,[],[3038]) ).

cnf(i_0_4355,plain,
    ( X1 = esk56_2(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2),X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(equality_inference,[],[3163]) ).

cnf(i_0_4356,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2),X3))) ),
    inference(equality_inference,[],[3190]) ).

cnf(i_0_4357,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
    inference(equality_inference,[],[3199]) ).

cnf(i_0_4358,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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,[],[3201]) ).

cnf(i_0_4359,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(equality_inference,[],[3216]) ).

cnf(i_0_4360,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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,[],[3229]) ).

cnf(i_0_4361,plain,
    ( ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
    | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(equality_inference,[],[3246]) ).

cnf(i_0_4362,plain,
    ( X1 = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(equality_inference,[],[3260]) ).

cnf(i_0_4363,plain,
    ( ~ class_Rings_Olinordered__semidom(X1)
    | X2 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X3)) ),
    inference(equality_inference,[],[3346]) ).

cnf(i_0_4364,plain,
    ( hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(equality_inference,[],[3394]) ).

cnf(i_0_4365,plain,
    ( X1 = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
    inference(equality_inference,[],[3404]) ).

cnf(i_0_4366,plain,
    ( X1 = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(equality_inference,[],[3407]) ).

cnf(i_0_4367,plain,
    ( ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X3)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3417]) ).

cnf(i_0_4368,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(equality_inference,[],[3423]) ).

cnf(i_0_4369,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(equality_inference,[],[3424]) ).

cnf(i_0_4370,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(hAPP(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) = hAPP(hAPP(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,[],[3428]) ).

cnf(i_0_4371,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(hAPP(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) = hAPP(hAPP(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,[],[3429]) ).

cnf(i_0_4372,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(equality_inference,[],[3433]) ).

cnf(i_0_4373,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(equality_inference,[],[3434]) ).

cnf(i_0_4374,plain,
    ( ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ hBOOL(hAPP(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,[],[3452]) ).

cnf(i_0_4375,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X2)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(equality_inference,[],[3470]) ).

cnf(i_0_4376,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2) = X1
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))) ),
    inference(equality_inference,[],[3476]) ).

cnf(i_0_4377,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(equality_inference,[],[3483]) ).

cnf(i_0_4378,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ hBOOL(hAPP(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,[],[3490]) ).

cnf(i_0_4379,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) = hAPP(hAPP(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,[],[3508]) ).

cnf(i_0_4380,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) = hAPP(hAPP(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,[],[3509]) ).

cnf(i_0_4381,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) = hAPP(hAPP(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,[],[3510]) ).

cnf(i_0_4382,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) = hAPP(hAPP(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,[],[3511]) ).

cnf(i_0_4383,plain,
    ( ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | hBOOL(hAPP(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,[],[3527]) ).

cnf(i_0_4384,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hBOOL(hAPP(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,[],[3531]) ).

cnf(i_0_4385,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(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) = hAPP(hAPP(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,[],[3563]) ).

cnf(i_0_4386,plain,
    hBOOL(hAPP(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,[],[3571]) ).

cnf(i_0_4387,plain,
    hBOOL(hAPP(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,[],[3572]) ).

cnf(i_0_4388,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X2)) ),
    inference(equality_inference,[],[3576]) ).

cnf(i_0_4389,plain,
    ( X1 = X1
    | ~ class_Groups_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[3588]) ).

cnf(i_0_4390,plain,
    ( X1 = X1
    | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
    inference(equality_inference,[],[3589]) ).

cnf(i_0_4391,plain,
    ( X1 = X1
    | ~ class_Groups_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[3591]) ).

cnf(i_0_4392,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(equality_inference,[],[3606]) ).

cnf(i_0_4393,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,[],[3607]) ).

cnf(i_0_4394,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,[],[3608]) ).

cnf(i_0_4395,plain,
    ( c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
    inference(equality_inference,[],[3626]) ).

cnf(i_0_4396,plain,
    ( X1 = X1
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(equality_inference,[],[3627]) ).

cnf(i_0_4397,plain,
    ( X1 = X1
    | X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(equality_inference,[],[3628]) ).

cnf(i_0_4398,plain,
    ( X1 = X1
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(equality_inference,[],[3630]) ).

cnf(i_0_4399,plain,
    ( X1 = X1
    | X2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(equality_inference,[],[3631]) ).

cnf(i_0_4400,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))),
    inference(equality_inference,[],[3633]) ).

cnf(i_0_4401,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),X2) = X3 ),
    inference(equality_inference,[],[3637]) ).

cnf(i_0_4402,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)),X2) = X3 ),
    inference(equality_inference,[],[3638]) ).

cnf(i_0_4403,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),X2) ),
    inference(equality_inference,[],[3640]) ).

cnf(i_0_4404,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | X3 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)),X2) ),
    inference(equality_inference,[],[3641]) ).

cnf(i_0_4405,plain,
    X1 = X1,
    inference(equality_inference,[],[3647]) ).

cnf(i_0_4406,plain,
    X1 = X1,
    inference(equality_inference,[],[3648]) ).

cnf(i_0_4407,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X2)) ),
    inference(equality_inference,[],[3659]) ).

cnf(i_0_4408,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X2)) ),
    inference(equality_inference,[],[3661]) ).

cnf(i_0_4409,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X2)) ),
    inference(equality_inference,[],[3662]) ).

cnf(i_0_4410,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X2)) ),
    inference(equality_inference,[],[3663]) ).

cnf(i_0_4411,plain,
    ( ~ epred1_3(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
    | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(equality_inference,[],[3674]) ).

cnf(i_0_4412,plain,
    X1 = X1,
    inference(equality_inference,[],[3675]) ).

cnf(i_0_4413,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(equality_inference,[],[3678]) ).

cnf(i_0_4414,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(equality_inference,[],[3682]) ).

cnf(i_0_4415,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(equality_inference,[],[3686]) ).

cnf(i_0_4416,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(equality_inference,[],[3687]) ).

cnf(i_0_4417,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
    inference(equality_inference,[],[3688]) ).

cnf(i_0_4418,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(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,[],[3702]) ).

cnf(i_0_4419,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),
    inference(equality_inference,[],[3717]) ).

cnf(i_0_4420,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(equality_inference,[],[3718]) ).

cnf(i_0_4421,plain,
    ( ~ class_Power_Opower(X1)
    | ~ class_Rings_Omult__zero(X1)
    | ~ class_Rings_Ono__zero__divisors(X1)
    | ~ class_Rings_Ozero__neq__one(X1)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3719]) ).

cnf(i_0_4422,plain,
    ( ~ class_Orderings_Oorder(X1)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X2)) ),
    inference(equality_inference,[],[3725]) ).

cnf(i_0_4423,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X2)) ),
    inference(equality_inference,[],[3726]) ).

cnf(i_0_4424,plain,
    ( ~ class_Orderings_Oorder(X1)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X2)) ),
    inference(equality_inference,[],[3727]) ).

cnf(i_0_4425,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(equality_inference,[],[3766]) ).

cnf(i_0_4426,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(equality_inference,[],[3767]) ).

cnf(i_0_4427,plain,
    ( ~ class_Rings_Odivision__ring(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X2) = c_Groups_Oone__class_Oone(X1) ),
    inference(equality_inference,[],[3788]) ).

cnf(i_0_4428,plain,
    ( ~ class_Rings_Odivision__ring__inverse__zero(X1)
    | hAPP(hAPP(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,[],[3789]) ).

cnf(i_0_4429,plain,
    ( ~ class_Rings_Oring__no__zero__divisors(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3790]) ).

cnf(i_0_4430,plain,
    ( ~ class_Rings_Oring__no__zero__divisors(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3791]) ).

cnf(i_0_4431,plain,
    ( ~ class_Groups_Olinordered__ab__group__add(X1)
    | hAPP(hAPP(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,[],[3792]) ).

cnf(i_0_4432,plain,
    ( ~ class_Groups_Olinordered__ab__group__add(X1)
    | c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(equality_inference,[],[3793]) ).

cnf(i_0_4433,plain,
    ( ~ class_Power_Opower(X1)
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1) ),
    inference(equality_inference,[],[3802]) ).

cnf(i_0_4434,plain,
    ( ~ class_Groups_Oab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3803]) ).

cnf(i_0_4435,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3804]) ).

cnf(i_0_4436,plain,
    ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1)) ),
    inference(equality_inference,[],[3805]) ).

cnf(i_0_4437,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(equality_inference,[],[3822]) ).

cnf(i_0_4438,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Onorm__class_Onorm(X1,c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(equality_inference,[],[3833]) ).

cnf(i_0_4439,plain,
    hAPP(hAPP(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(equality_inference,[],[3839]) ).

cnf(i_0_4440,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(equality_inference,[],[3841]) ).

cnf(i_0_4441,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(equality_inference,[],[3842]) ).

cnf(i_0_4442,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = X1,
    inference(equality_inference,[],[3851]) ).

cnf(i_0_4443,plain,
    X1 = X1,
    inference(equality_inference,[],[3859]) ).

cnf(i_0_4444,plain,
    X1 = X1,
    inference(equality_inference,[],[3860]) ).

cnf(i_0_4445,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,[],[3864]) ).

cnf(i_0_4446,plain,
    X1 = X1,
    inference(equality_inference,[],[3865]) ).

cnf(i_0_4447,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3876]) ).

cnf(i_0_4448,plain,
    ( ~ class_Rings_Olinordered__idom(X1)
    | c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[3877]) ).

cnf(i_0_4449,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,[],[3878]) ).

cnf(i_0_4450,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,[],[3880]) ).

cnf(i_0_4451,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,[],[3904]) ).

cnf(i_0_4452,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_2860,i_0_2568]) ).

cnf(i_0_4453,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_3298,i_0_3551]) ).

cnf(i_0_4454,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
    inference(rename_variables,[],[i_0_3551]) ).

cnf(i_0_4455,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(scs_inference,[],[i_0_3772,i_0_3298,i_0_3551,i_0_4356]) ).

cnf(i_0_4456,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4457,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3),X2)))
    | hBOOL(hAPP(X1,X3)) ),
    inference(rename_variables,[],[i_0_4356]) ).

cnf(i_0_4458,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
    inference(scs_inference,[],[i_0_3772,i_0_3298,i_0_3649,i_0_3551,i_0_4356,i_0_2689]) ).

cnf(i_0_4459,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)))),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_4460,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_2689]) ).

cnf(i_0_4461,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))),
    inference(scs_inference,[],[i_0_3772,i_0_3298,i_0_2818,i_0_3649,i_0_3551,i_0_4356,i_0_2689,i_0_2772]) ).

cnf(i_0_4462,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_2818]) ).

cnf(i_0_4463,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_2772]) ).

cnf(i_0_4464,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_3772,i_0_3773,i_0_3298,i_0_2818,i_0_3649,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811]) ).

cnf(i_0_4465,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_4466,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) ),
    inference(rename_variables,[],[i_0_2811]) ).

cnf(i_0_4467,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1)))),
    inference(scs_inference,[],[i_0_3772,i_0_3773,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849]) ).

cnf(i_0_4468,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(rename_variables,[],[i_0_3105]) ).

cnf(i_0_4469,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_2849]) ).

cnf(i_0_4470,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854]) ).

cnf(i_0_4471,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rename_variables,[],[i_0_2854]) ).

cnf(i_0_4472,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2)),X1)),
    inference(scs_inference,[],[i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864]) ).

cnf(i_0_4473,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_4474,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | hBOOL(hAPP(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_2864]) ).

cnf(i_0_4475,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2))),
    inference(scs_inference,[],[i_0_3696,i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873]) ).

cnf(i_0_4476,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_4477,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))) ),
    inference(rename_variables,[],[i_0_2873]) ).

cnf(i_0_4478,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X1)),
    inference(scs_inference,[],[i_0_3696,i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901]) ).

cnf(i_0_4479,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1))),
    inference(rename_variables,[],[i_0_3457]) ).

cnf(i_0_4480,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_2901]) ).

cnf(i_0_4481,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4368,i_0_3696,i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911]) ).

cnf(i_0_4482,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(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 ),
    inference(rename_variables,[],[i_0_2911]) ).

cnf(i_0_4483,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4368,i_0_3696,i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937]) ).

cnf(i_0_4484,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1))),
    inference(rename_variables,[],[i_0_3457]) ).

cnf(i_0_4485,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_2937]) ).

cnf(i_0_4486,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))),
    inference(scs_inference,[],[i_0_4368,i_0_3696,i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961]) ).

cnf(i_0_4487,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1))),
    inference(rename_variables,[],[i_0_3457]) ).

cnf(i_0_4488,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_2961]) ).

cnf(i_0_4489,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))),
    inference(scs_inference,[],[i_0_4368,i_0_3696,i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962]) ).

cnf(i_0_4490,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1))),
    inference(rename_variables,[],[i_0_3457]) ).

cnf(i_0_4491,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(rename_variables,[],[i_0_2962]) ).

cnf(i_0_4492,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),
    inference(scs_inference,[],[i_0_4368,i_0_3696,i_0_4476,i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068]) ).

cnf(i_0_4493,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_4494,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_3068]) ).

cnf(i_0_4495,plain,
    ~ hBOOL(hAPP(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,X1))),
    inference(scs_inference,[],[i_0_4368,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120]) ).

cnf(i_0_4496,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(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))) ),
    inference(rename_variables,[],[i_0_3120]) ).

cnf(i_0_4497,plain,
    hBOOL(hAPP(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_4368,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121]) ).

cnf(i_0_4498,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4499,plain,
    ( ~ hBOOL(hAPP(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))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3121]) ).

cnf(i_0_4500,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(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_4368,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172]) ).

cnf(i_0_4501,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3172]) ).

cnf(i_0_4502,plain,
    c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(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_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4368,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192]) ).

cnf(i_0_4503,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X2),X1) ),
    inference(rename_variables,[],[i_0_3192]) ).

cnf(i_0_4504,plain,
    c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(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_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4368,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193]) ).

cnf(i_0_4505,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X2),X1) ),
    inference(rename_variables,[],[i_0_3193]) ).

cnf(i_0_4506,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215]) ).

cnf(i_0_4507,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3),X1) ),
    inference(rename_variables,[],[i_0_3215]) ).

cnf(i_0_4508,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216]) ).

cnf(i_0_4509,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3216]) ).

cnf(i_0_4510,plain,
    epred1_3(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),X2,X1),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228]) ).

cnf(i_0_4511,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4512,plain,
    ( ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)))
    | epred1_3(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3228]) ).

cnf(i_0_4513,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X3)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232]) ).

cnf(i_0_4514,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3232]) ).

cnf(i_0_4515,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248]) ).

cnf(i_0_4516,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(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))) ),
    inference(rename_variables,[],[i_0_3248]) ).

cnf(i_0_4517,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255]) ).

cnf(i_0_4518,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3255]) ).

cnf(i_0_4519,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1)))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256]) ).

cnf(i_0_4520,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)))),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_4521,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3256]) ).

cnf(i_0_4522,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258]) ).

cnf(i_0_4523,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hAPP(hAPP(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 ),
    inference(rename_variables,[],[i_0_3258]) ).

cnf(i_0_4524,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259]) ).

cnf(i_0_4525,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | X1 = hAPP(hAPP(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(rename_variables,[],[i_0_3259]) ).

cnf(i_0_4526,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283]) ).

cnf(i_0_4527,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4528,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3283]) ).

cnf(i_0_4529,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284]) ).

cnf(i_0_4530,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4531,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3284]) ).

cnf(i_0_4532,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),X1)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3009,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288]) ).

cnf(i_0_4533,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)),
    inference(rename_variables,[],[i_0_3009]) ).

cnf(i_0_4534,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3288]) ).

cnf(i_0_4535,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)),X1)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3009,i_0_4533,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309]) ).

cnf(i_0_4536,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)),
    inference(rename_variables,[],[i_0_3009]) ).

cnf(i_0_4537,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3309]) ).

cnf(i_0_4538,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)),X2)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_3009,i_0_4533,i_0_4536,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311]) ).

cnf(i_0_4539,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)),
    inference(rename_variables,[],[i_0_3009]) ).

cnf(i_0_4540,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_3311]) ).

cnf(i_0_4541,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_3009,i_0_4533,i_0_4536,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313]) ).

cnf(i_0_4542,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_4543,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3313]) ).

cnf(i_0_4544,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315]) ).

cnf(i_0_4545,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_4546,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_3315]) ).

cnf(i_0_4547,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X1) = X1,
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3298,i_0_2818,i_0_3105,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318]) ).

cnf(i_0_4548,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X1) = X2 ),
    inference(rename_variables,[],[i_0_3318]) ).

cnf(i_0_4549,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)),c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2))))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333]) ).

cnf(i_0_4550,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X2))) ),
    inference(rename_variables,[],[i_0_3333]) ).

cnf(i_0_4551,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345]) ).

cnf(i_0_4552,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2)),
    inference(rename_variables,[],[i_0_3010]) ).

cnf(i_0_4553,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_3345]) ).

cnf(i_0_4554,plain,
    c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),X1),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348]) ).

cnf(i_0_4555,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4556,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),X2) ),
    inference(rename_variables,[],[i_0_3348]) ).

cnf(i_0_4557,plain,
    c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),X1),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349]) ).

cnf(i_0_4558,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4559,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X1)),X2) ),
    inference(rename_variables,[],[i_0_3349]) ).

cnf(i_0_4560,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X1)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350]) ).

cnf(i_0_4561,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | 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)) ),
    inference(rename_variables,[],[i_0_3350]) ).

cnf(i_0_4562,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351]) ).

cnf(i_0_4563,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X2,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1 ),
    inference(rename_variables,[],[i_0_3351]) ).

cnf(i_0_4564,plain,
    c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(hAPP(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))),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_Transcendental_Oln(hAPP(hAPP(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_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356]) ).

cnf(i_0_4565,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_Transcendental_Oln(X1)) ),
    inference(rename_variables,[],[i_0_3356]) ).

cnf(i_0_4566,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oarccos(hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))))) = hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357]) ).

cnf(i_0_4567,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oarccos(X1))) = X1 ),
    inference(rename_variables,[],[i_0_3357]) ).

cnf(i_0_4568,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk13_0)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359]) ).

cnf(i_0_4569,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3359]) ).

cnf(i_0_4570,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),X2,X1),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364]) ).

cnf(i_0_4571,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4572,plain,
    ( hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)))
    | ~ epred1_3(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3364]) ).

cnf(i_0_4573,plain,
    c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396]) ).

cnf(i_0_4574,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4575,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3396]) ).

cnf(i_0_4576,plain,
    c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397]) ).

cnf(i_0_4577,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4578,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3397]) ).

cnf(i_0_4579,plain,
    ~ hBOOL(hAPP(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_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401]) ).

cnf(i_0_4580,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_4581,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
    inference(rename_variables,[],[i_0_3401]) ).

cnf(i_0_4582,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X2,
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412]) ).

cnf(i_0_4583,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X1) = X2 ),
    inference(rename_variables,[],[i_0_3412]) ).

cnf(i_0_4584,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X1,
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413]) ).

cnf(i_0_4585,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X1) = X2 ),
    inference(rename_variables,[],[i_0_3413]) ).

cnf(i_0_4586,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk60_2(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415]) ).

cnf(i_0_4587,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk60_2(X2,X1))) ),
    inference(rename_variables,[],[i_0_3415]) ).

cnf(i_0_4588,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)) = X1,
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419]) ).

cnf(i_0_4589,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X1 ),
    inference(rename_variables,[],[i_0_3419]) ).

cnf(i_0_4590,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_3010,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424]) ).

cnf(i_0_4591,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)),
    inference(rename_variables,[],[i_0_3009]) ).

cnf(i_0_4592,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(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_3424]) ).

cnf(i_0_4593,plain,
    ~ class_Groups_Ogroup__add(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425]) ).

cnf(i_0_4594,plain,
    hAPP(hAPP(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_3752]) ).

cnf(i_0_4595,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X3) = X2
    | ~ class_Groups_Ogroup__add(X1) ),
    inference(rename_variables,[],[i_0_3425]) ).

cnf(i_0_4596,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427]) ).

cnf(i_0_4597,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
    inference(rename_variables,[],[i_0_3427]) ).

cnf(i_0_4598,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433]) ).

cnf(i_0_4599,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4600,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3433]) ).

cnf(i_0_4601,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2) != X1,
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434]) ).

cnf(i_0_4602,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)),
    inference(rename_variables,[],[i_0_3009]) ).

cnf(i_0_4603,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3434]) ).

cnf(i_0_4604,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)) = X1,
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435]) ).

cnf(i_0_4605,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2 ),
    inference(rename_variables,[],[i_0_3435]) ).

cnf(i_0_4606,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485]) ).

cnf(i_0_4607,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4608,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X1))) ),
    inference(rename_variables,[],[i_0_3485]) ).

cnf(i_0_4609,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486]) ).

cnf(i_0_4610,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4611,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1))) ),
    inference(rename_variables,[],[i_0_3486]) ).

cnf(i_0_4612,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489]) ).

cnf(i_0_4613,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4614,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rename_variables,[],[i_0_3489]) ).

cnf(i_0_4615,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1))))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491]) ).

cnf(i_0_4616,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(X2))) ),
    inference(rename_variables,[],[i_0_3491]) ).

cnf(i_0_4617,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1))))),c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492]) ).

cnf(i_0_4618,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X2))) ),
    inference(rename_variables,[],[i_0_3492]) ).

cnf(i_0_4619,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X1,
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497]) ).

cnf(i_0_4620,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = X1 ),
    inference(rename_variables,[],[i_0_3497]) ).

cnf(i_0_4621,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk44_1(hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532]) ).

cnf(i_0_4622,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk44_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3532]) ).

cnf(i_0_4623,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_2818,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544]) ).

cnf(i_0_4624,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3544]) ).

cnf(i_0_4625,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549]) ).

cnf(i_0_4626,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3549]) ).

cnf(i_0_4627,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558]) ).

cnf(i_0_4628,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X2,X1)) ),
    inference(rename_variables,[],[i_0_3558]) ).

cnf(i_0_4629,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk3_2(X1,X1)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559]) ).

cnf(i_0_4630,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk3_2(X2,X1)) ),
    inference(rename_variables,[],[i_0_3559]) ).

cnf(i_0_4631,plain,
    c_Nat__Transfer_Otsub(X1,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566]) ).

cnf(i_0_4632,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | c_Nat__Transfer_Otsub(X2,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1) ),
    inference(rename_variables,[],[i_0_3566]) ).

cnf(i_0_4633,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577]) ).

cnf(i_0_4634,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3577]) ).

cnf(i_0_4635,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579]) ).

cnf(i_0_4636,plain,
    ( ~ hBOOL(hAPP(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(rename_variables,[],[i_0_3579]) ).

cnf(i_0_4637,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606]) ).

cnf(i_0_4638,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3606]) ).

cnf(i_0_4639,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611]) ).

cnf(i_0_4640,plain,
    ( hBOOL(hAPP(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(rename_variables,[],[i_0_3611]) ).

cnf(i_0_4641,plain,
    c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,hAPP(hAPP(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_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619]) ).

cnf(i_0_4642,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3619]) ).

cnf(i_0_4643,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624]) ).

cnf(i_0_4644,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_3624]) ).

cnf(i_0_4645,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633]) ).

cnf(i_0_4646,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3) ),
    inference(rename_variables,[],[i_0_3633]) ).

cnf(i_0_4647,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670]) ).

cnf(i_0_4648,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)),X1)),
    inference(rename_variables,[],[i_0_3176]) ).

cnf(i_0_4649,plain,
    ( ~ hBOOL(hAPP(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_3670]) ).

cnf(i_0_4650,plain,
    hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678]) ).

cnf(i_0_4651,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3678]) ).

cnf(i_0_4652,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != hAPP(hAPP(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(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682]) ).

cnf(i_0_4653,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3682]) ).

cnf(i_0_4654,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686]) ).

cnf(i_0_4655,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_3686]) ).

cnf(i_0_4656,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687]) ).

cnf(i_0_4657,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3687]) ).

cnf(i_0_4658,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688]) ).

cnf(i_0_4659,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3688]) ).

cnf(i_0_4660,plain,
    c_Nat__Transfer_Otsub(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(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_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728]) ).

cnf(i_0_4661,plain,
    ( hBOOL(hAPP(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(rename_variables,[],[i_0_3728]) ).

cnf(i_0_4662,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766]) ).

cnf(i_0_4663,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3766]) ).

cnf(i_0_4664,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3768,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851]) ).

cnf(i_0_4665,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4666,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = X2
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3851]) ).

cnf(i_0_4667,plain,
    c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886]) ).

cnf(i_0_4668,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3886]) ).

cnf(i_0_4669,plain,
    c_Complex_Ocomplex_OComplex(hAPP(hAPP(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_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887]) ).

cnf(i_0_4670,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4671,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3887]) ).

cnf(i_0_4672,plain,
    c_Complex_Ocomplex_OComplex(X1,hAPP(hAPP(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_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888]) ).

cnf(i_0_4673,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4674,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3888]) ).

cnf(i_0_4675,plain,
    c_Complex_Ocomplex_OComplex(X1,hAPP(hAPP(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_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889]) ).

cnf(i_0_4676,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4677,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3889]) ).

cnf(i_0_4678,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X2)),X3) = X3,
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339]) ).

cnf(i_0_4679,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X2)),X3) = X3 ),
    inference(rename_variables,[],[i_0_4339]) ).

cnf(i_0_4680,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X2)),X3)),X1),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340]) ).

cnf(i_0_4681,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X3)),X2) ),
    inference(rename_variables,[],[i_0_4340]) ).

cnf(i_0_4682,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352]) ).

cnf(i_0_4683,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4684,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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(rename_variables,[],[i_0_4352]) ).

cnf(i_0_4685,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361]) ).

cnf(i_0_4686,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4687,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
    inference(rename_variables,[],[i_0_4361]) ).

cnf(i_0_4688,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364]) ).

cnf(i_0_4689,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4690,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
    inference(rename_variables,[],[i_0_4364]) ).

cnf(i_0_4691,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X1),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375]) ).

cnf(i_0_4692,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X1) ),
    inference(rename_variables,[],[i_0_4375]) ).

cnf(i_0_4693,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411]) ).

cnf(i_0_4694,plain,
    ( ~ epred1_3(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
    | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_4411]) ).

cnf(i_0_4695,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195]) ).

cnf(i_0_4696,plain,
    hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != X1,
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197]) ).

cnf(i_0_4697,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4698,plain,
    hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) != hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246]) ).

cnf(i_0_4699,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4418,i_0_4372,i_0_4387,i_0_4150,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752]) ).

cnf(i_0_4700,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(rename_variables,[],[i_0_3105]) ).

cnf(i_0_4701,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_2752]) ).

cnf(i_0_4702,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4418,i_0_4372,i_0_4387,i_0_4029,i_0_4150,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856]) ).

cnf(i_0_4703,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_2856]) ).

cnf(i_0_4704,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(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))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4029,i_0_4150,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190]) ).

cnf(i_0_4705,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4706,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
    | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)
    | hBOOL(hAPP(X1,X4)) ),
    inference(rename_variables,[],[i_0_3190]) ).

cnf(i_0_4707,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4029,i_0_4150,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302]) ).

cnf(i_0_4708,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2)),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3302]) ).

cnf(i_0_4709,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321]) ).

cnf(i_0_4710,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Osgn__class_Osgn(X1,X2)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3321]) ).

cnf(i_0_4711,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_RealDef_Oreal(tc_Nat_Onat,X1))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377]) ).

cnf(i_0_4712,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1)) ),
    inference(rename_variables,[],[i_0_3377]) ).

cnf(i_0_4713,plain,
    hBOOL(hAPP(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_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4120,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516]) ).

cnf(i_0_4714,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3516]) ).

cnf(i_0_4715,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4120,i_0_4132,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518]) ).

cnf(i_0_4716,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3518]) ).

cnf(i_0_4717,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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4120,i_0_4132,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539]) ).

cnf(i_0_4718,plain,
    hBOOL(hAPP(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_3669]) ).

cnf(i_0_4719,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3539]) ).

cnf(i_0_4720,plain,
    c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,hAPP(hAPP(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_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4120,i_0_4132,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655]) ).

cnf(i_0_4721,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Osgn__class_Osgn(X1,X2) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3655]) ).

cnf(i_0_4722,plain,
    X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4120,i_0_4121,i_0_4132,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725]) ).

cnf(i_0_4723,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | X3 != X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3725]) ).

cnf(i_0_4724,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4120,i_0_4121,i_0_4132,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726]) ).

cnf(i_0_4725,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X1)
    | X2 != X3 ),
    inference(rename_variables,[],[i_0_3726]) ).

cnf(i_0_4726,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3)),X2)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4067,i_0_4120,i_0_4121,i_0_4132,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539]) ).

cnf(i_0_4727,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)),X5)),X6))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_2539]) ).

cnf(i_0_4728,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3)),X2)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4067,i_0_4120,i_0_4121,i_0_4132,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540]) ).

cnf(i_0_4729,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)),X5)),X6))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_2540]) ).

cnf(i_0_4730,plain,
    c_SEQ_OBseq(tc_Complex_Ocomplex,v_s),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4067,i_0_4120,i_0_4121,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541]) ).

cnf(i_0_4731,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
    inference(rename_variables,[],[i_0_3343]) ).

cnf(i_0_4732,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk35_4(X3,X2,X4,X1)))),X3))
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | c_SEQ_OBseq(X1,X2) ),
    inference(rename_variables,[],[i_0_2541]) ).

cnf(i_0_4733,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4067,i_0_4120,i_0_4121,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542]) ).

cnf(i_0_4734,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3673]) ).

cnf(i_0_4735,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_2542]) ).

cnf(i_0_4736,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X2)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4067,i_0_4120,i_0_4121,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543]) ).

cnf(i_0_4737,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_4738,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_2543]) ).

cnf(i_0_4739,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X1)),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4067,i_0_4120,i_0_4121,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545]) ).

cnf(i_0_4740,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_4741,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X3,X4)),X5)),X6)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_2545]) ).

cnf(i_0_4742,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X1)),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4067,i_0_4120,i_0_4121,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546]) ).

cnf(i_0_4743,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X3,X4)),X5)),X6)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_2546]) ).

cnf(i_0_4744,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_Int_Oint),X2),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4067,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547]) ).

cnf(i_0_4745,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4746,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk2_4(X3,X2,X4,X1))),hAPP(X3,esk2_4(X3,X2,X4,X1))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X1),X2),X3))
    | ~ class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2547]) ).

cnf(i_0_4747,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3)),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_3856,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623]) ).

cnf(i_0_4748,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X1,
    inference(rename_variables,[],[i_0_3856]) ).

cnf(i_0_4749,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)),X5) != X6
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2623]) ).

cnf(i_0_4750,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(c_COMBS(X3,X4,X5,c_Groups_Oplus__class_Oplus(tc_Int_Oint),X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X7,X1)),X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X7),X2)),hAPP(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X7,X1)),X2))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4178,i_0_2611,i_0_3856,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624]) ).

cnf(i_0_4751,plain,
    hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
    inference(rename_variables,[],[i_0_2611]) ).

cnf(i_0_4752,plain,
    ( X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),c_Groups_Ominus__class_Ominus(X2,X3,X4)),X5)),X6)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X5)),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X5)),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2624]) ).

cnf(i_0_4753,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630]) ).

cnf(i_0_4754,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_4755,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))),X4))
    | hBOOL(hAPP(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_2630]) ).

cnf(i_0_4756,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640]) ).

cnf(i_0_4757,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1),
    inference(rename_variables,[],[i_0_3734]) ).

cnf(i_0_4758,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3)),X4) = X6
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2640]) ).

cnf(i_0_4759,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3)),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641]) ).

cnf(i_0_4760,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1),
    inference(rename_variables,[],[i_0_3734]) ).

cnf(i_0_4761,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)
    | X4 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3)),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2641]) ).

cnf(i_0_4762,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),X3)) = X3,
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645]) ).

cnf(i_0_4763,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_4764,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X4)),X2)),X3) = X5
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X1)) ),
    inference(rename_variables,[],[i_0_2645]) ).

cnf(i_0_4765,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)),X1)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646]) ).

cnf(i_0_4766,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_4767,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)
    | X3 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X1)),X2)),X5)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X4)) ),
    inference(rename_variables,[],[i_0_2646]) ).

cnf(i_0_4768,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X2))),X1),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762]) ).

cnf(i_0_4769,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))),X4)
    | ~ class_Groups_Omonoid__mult(X3) ),
    inference(rename_variables,[],[i_0_2762]) ).

cnf(i_0_4770,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775]) ).

cnf(i_0_4771,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_4772,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_4773,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(rename_variables,[],[i_0_2775]) ).

cnf(i_0_4774,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(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)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794]) ).

cnf(i_0_4775,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4776,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2794]) ).

cnf(i_0_4777,plain,
    ~ hBOOL(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795]) ).

cnf(i_0_4778,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_4779,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_4780,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(rename_variables,[],[i_0_2795]) ).

cnf(i_0_4781,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810]) ).

cnf(i_0_4782,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4783,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2810]) ).

cnf(i_0_4784,plain,
    X1 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892]) ).

cnf(i_0_4785,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_4786,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | X3 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2892]) ).

cnf(i_0_4787,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896]) ).

cnf(i_0_4788,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X4)) ),
    inference(rename_variables,[],[i_0_2896]) ).

cnf(i_0_4789,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898]) ).

cnf(i_0_4790,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_4791,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X4)) ),
    inference(rename_variables,[],[i_0_2898]) ).

cnf(i_0_4792,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),X1)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4144,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902]) ).

cnf(i_0_4793,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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_2719]) ).

cnf(i_0_4794,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2902]) ).

cnf(i_0_4795,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904]) ).

cnf(i_0_4796,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2904]) ).

cnf(i_0_4797,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908]) ).

cnf(i_0_4798,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2908]) ).

cnf(i_0_4799,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(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))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(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))) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(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))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942]) ).

cnf(i_0_4800,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,hAPP(hAPP(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_2942]) ).

cnf(i_0_4801,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(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(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949]) ).

cnf(i_0_4802,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_4803,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
    inference(rename_variables,[],[i_0_2949]) ).

cnf(i_0_4804,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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))),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953]) ).

cnf(i_0_4805,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_4806,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2953]) ).

cnf(i_0_4807,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,hAPP(hAPP(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_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954]) ).

cnf(i_0_4808,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2954]) ).

cnf(i_0_4809,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955]) ).

cnf(i_0_4810,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4811,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2955]) ).

cnf(i_0_4812,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(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)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956]) ).

cnf(i_0_4813,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4814,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_4815,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998]) ).

cnf(i_0_4816,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_4817,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X2)) ),
    inference(rename_variables,[],[i_0_2998]) ).

cnf(i_0_4818,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),esk65_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000]) ).

cnf(i_0_4819,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4820,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | ~ hBOOL(hAPP(X3,esk65_3(X2,X1,X3))) ),
    inference(rename_variables,[],[i_0_3000]) ).

cnf(i_0_4821,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),esk64_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001]) ).

cnf(i_0_4822,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4823,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | ~ hBOOL(hAPP(X3,esk64_3(X2,X1,X3))) ),
    inference(rename_variables,[],[i_0_3001]) ).

cnf(i_0_4824,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007]) ).

cnf(i_0_4825,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4826,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4827,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))) ),
    inference(rename_variables,[],[i_0_3007]) ).

cnf(i_0_4828,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013]) ).

cnf(i_0_4829,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
    inference(rename_variables,[],[i_0_3013]) ).

cnf(i_0_4830,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020]) ).

cnf(i_0_4831,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | X2 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1) ),
    inference(rename_variables,[],[i_0_3020]) ).

cnf(i_0_4832,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023]) ).

cnf(i_0_4833,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_3023]) ).

cnf(i_0_4834,plain,
    ~ class_Groups_Oordered__ab__group__add(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024]) ).

cnf(i_0_4835,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3673]) ).

cnf(i_0_4836,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(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(rename_variables,[],[i_0_3024]) ).

cnf(i_0_4837,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025]) ).

cnf(i_0_4838,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(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(rename_variables,[],[i_0_3025]) ).

cnf(i_0_4839,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),esk69_3(hAPP(hAPP(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_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047]) ).

cnf(i_0_4840,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4841,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4842,plain,
    ( hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | ~ hBOOL(hAPP(X1,esk69_3(X3,X2,X1)))
    | X3 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3047]) ).

cnf(i_0_4843,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),esk71_3(hAPP(hAPP(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_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060]) ).

cnf(i_0_4844,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4845,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4846,plain,
    ( ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | hBOOL(hAPP(X1,esk71_3(X3,X2,X1)))
    | X3 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3060]) ).

cnf(i_0_4847,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070]) ).

cnf(i_0_4848,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_2818]) ).

cnf(i_0_4849,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_4850,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(X2,X1)),X2))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3070]) ).

cnf(i_0_4851,plain,
    hBOOL(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074]) ).

cnf(i_0_4852,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3414]) ).

cnf(i_0_4853,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_4854,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) ),
    inference(rename_variables,[],[i_0_3074]) ).

cnf(i_0_4855,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(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(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095]) ).

cnf(i_0_4856,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4857,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))) ),
    inference(rename_variables,[],[i_0_3095]) ).

cnf(i_0_4858,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096]) ).

cnf(i_0_4859,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4860,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))) ),
    inference(rename_variables,[],[i_0_3096]) ).

cnf(i_0_4861,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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)),hAPP(hAPP(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(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102]) ).

cnf(i_0_4862,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4863,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
    inference(rename_variables,[],[i_0_3102]) ).

cnf(i_0_4864,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103]) ).

cnf(i_0_4865,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | 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) ),
    inference(rename_variables,[],[i_0_3103]) ).

cnf(i_0_4866,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138]) ).

cnf(i_0_4867,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4868,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))) ),
    inference(rename_variables,[],[i_0_3138]) ).

cnf(i_0_4869,plain,
    ~ hBOOL(hAPP(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_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181]) ).

cnf(i_0_4870,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3181]) ).

cnf(i_0_4871,plain,
    c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191]) ).

cnf(i_0_4872,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4873,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X2) ),
    inference(rename_variables,[],[i_0_3191]) ).

cnf(i_0_4874,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk65_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196]) ).

cnf(i_0_4875,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4876,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk65_3(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_3196]) ).

cnf(i_0_4877,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk64_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197]) ).

cnf(i_0_4878,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4879,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk64_3(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_3197]) ).

cnf(i_0_4880,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)) != hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199]) ).

cnf(i_0_4881,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_4882,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X2))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3199]) ).

cnf(i_0_4883,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208]) ).

cnf(i_0_4884,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4885,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),esk65_3(X3,X2,X1)) ),
    inference(rename_variables,[],[i_0_3208]) ).

cnf(i_0_4886,plain,
    c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(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_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(hAPP(hAPP(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_Transcendental_Oln(hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217]) ).

cnf(i_0_4887,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X2)) ),
    inference(rename_variables,[],[i_0_3217]) ).

cnf(i_0_4888,plain,
    c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(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)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(hAPP(hAPP(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_Transcendental_Oln(hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222]) ).

cnf(i_0_4889,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X1)),c_Transcendental_Oln(X2)) ),
    inference(rename_variables,[],[i_0_3222]) ).

cnf(i_0_4890,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224]) ).

cnf(i_0_4891,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_4892,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_4893,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) ),
    inference(rename_variables,[],[i_0_3224]) ).

cnf(i_0_4894,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk57_2(hAPP(hAPP(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)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235]) ).

cnf(i_0_4895,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk57_2(X1,X2))) ),
    inference(rename_variables,[],[i_0_3235]) ).

cnf(i_0_4896,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk56_2(hAPP(hAPP(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)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236]) ).

cnf(i_0_4897,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk56_2(X1,X2))) ),
    inference(rename_variables,[],[i_0_3236]) ).

cnf(i_0_4898,plain,
    hBOOL(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237]) ).

cnf(i_0_4899,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4900,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(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_3237]) ).

cnf(i_0_4901,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246]) ).

cnf(i_0_4902,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_4903,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | X3 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3246]) ).

cnf(i_0_4904,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273]) ).

cnf(i_0_4905,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4906,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),X2) = c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3273]) ).

cnf(i_0_4907,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk57_2(hAPP(hAPP(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)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306]) ).

cnf(i_0_4908,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk57_2(X1,X2)),X2) = X1 ),
    inference(rename_variables,[],[i_0_3306]) ).

cnf(i_0_4909,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk56_2(hAPP(hAPP(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)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307]) ).

cnf(i_0_4910,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk56_2(X1,X2)),X2) = X1 ),
    inference(rename_variables,[],[i_0_3307]) ).

cnf(i_0_4911,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(esk4_0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(esk4_0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329]) ).

cnf(i_0_4912,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X3,X1)),hAPP(X3,X2)))
    | ~ c_SEQ_Osubseq(X3) ),
    inference(rename_variables,[],[i_0_3329]) ).

cnf(i_0_4913,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347]) ).

cnf(i_0_4914,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X4))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2) ),
    inference(rename_variables,[],[i_0_3347]) ).

cnf(i_0_4915,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,hAPP(hAPP(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(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353]) ).

cnf(i_0_4916,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Osgn__class_Osgn(X1,X2)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3353]) ).

cnf(i_0_4917,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376]) ).

cnf(i_0_4918,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_4919,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X1)) ),
    inference(rename_variables,[],[i_0_3376]) ).

cnf(i_0_4920,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(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_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379]) ).

cnf(i_0_4921,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_4922,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3379]) ).

cnf(i_0_4923,plain,
    c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381]) ).

cnf(i_0_4924,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))))),
    inference(rename_variables,[],[i_0_2633]) ).

cnf(i_0_4925,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1)) ),
    inference(rename_variables,[],[i_0_3381]) ).

cnf(i_0_4926,plain,
    c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382]) ).

cnf(i_0_4927,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))))),
    inference(rename_variables,[],[i_0_2633]) ).

cnf(i_0_4928,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1)) ),
    inference(rename_variables,[],[i_0_3382]) ).

cnf(i_0_4929,plain,
    c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383]) ).

cnf(i_0_4930,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))))),
    inference(rename_variables,[],[i_0_2633]) ).

cnf(i_0_4931,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1)) ),
    inference(rename_variables,[],[i_0_3383]) ).

cnf(i_0_4932,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394]) ).

cnf(i_0_4933,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4934,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | X3 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3394]) ).

cnf(i_0_4935,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442]) ).

cnf(i_0_4936,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3442]) ).

cnf(i_0_4937,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443]) ).

cnf(i_0_4938,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3443]) ).

cnf(i_0_4939,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1))))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446]) ).

cnf(i_0_4940,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3446]) ).

cnf(i_0_4941,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450]) ).

cnf(i_0_4942,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3450]) ).

cnf(i_0_4943,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451]) ).

cnf(i_0_4944,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3451]) ).

cnf(i_0_4945,plain,
    c_Groups_Ominus__class_Ominus(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470]) ).

cnf(i_0_4946,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_4947,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3769]) ).

cnf(i_0_4948,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != X3 ),
    inference(rename_variables,[],[i_0_3470]) ).

cnf(i_0_4949,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Complex_Ocomplex_Ocomplex__case(X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Complex_Ocomplex_OComplex(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2,
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476]) ).

cnf(i_0_4950,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_4951,plain,
    c_Complex_Ocomplex_Ocomplex__case(X1,X2,c_Complex_Ocomplex_OComplex(X3,X4)) = hAPP(hAPP(X2,X3),X4),
    inference(rename_variables,[],[i_0_3693]) ).

cnf(i_0_4952,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) = X3 ),
    inference(rename_variables,[],[i_0_3476]) ).

cnf(i_0_4953,plain,
    ~ hBOOL(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480]) ).

cnf(i_0_4954,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3480]) ).

cnf(i_0_4955,plain,
    X1 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481]) ).

cnf(i_0_4956,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3481]) ).

cnf(i_0_4957,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482]) ).

cnf(i_0_4958,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3482]) ).

cnf(i_0_4959,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(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))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514]) ).

cnf(i_0_4960,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3514]) ).

cnf(i_0_4961,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534]) ).

cnf(i_0_4962,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2))),
    inference(rename_variables,[],[i_0_3207]) ).

cnf(i_0_4963,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3534]) ).

cnf(i_0_4964,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X1),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537]) ).

cnf(i_0_4965,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_4966,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3537]) ).

cnf(i_0_4967,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542]) ).

cnf(i_0_4968,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(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 != hAPP(hAPP(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_3542]) ).

cnf(i_0_4969,plain,
    c_Groups_Osgn__class_Osgn(tc_Int_Oint,hAPP(hAPP(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))) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557]) ).

cnf(i_0_4970,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Osgn__class_Osgn(X1,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3557]) ).

cnf(i_0_4971,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(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))) = hAPP(hAPP(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(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561]) ).

cnf(i_0_4972,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3561]) ).

cnf(i_0_4973,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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562]) ).

cnf(i_0_4974,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_4975,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3562]) ).

cnf(i_0_4976,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574]) ).

cnf(i_0_4977,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(rename_variables,[],[i_0_3651]) ).

cnf(i_0_4978,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1) = X2,
    inference(rename_variables,[],[i_0_3653]) ).

cnf(i_0_4979,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_3574]) ).

cnf(i_0_4980,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589]) ).

cnf(i_0_4981,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)
    | X3 = X4
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_3589]) ).

cnf(i_0_4982,plain,
    hAPP(c_COMBS(X1,X2,X3,c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5,X5)),X6)) = hAPP(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5,X5)),X6)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591]) ).

cnf(i_0_4983,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)
    | X3 = X4
    | ~ class_Groups_Ocancel__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_3591]) ).

cnf(i_0_4984,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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618]) ).

cnf(i_0_4985,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3673]) ).

cnf(i_0_4986,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3618]) ).

cnf(i_0_4987,plain,
    c_Transcendental_Oln(c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(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_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626]) ).

cnf(i_0_4988,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(rename_variables,[],[i_0_3149]) ).

cnf(i_0_4989,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3626]) ).

cnf(i_0_4990,plain,
    hAPP(hAPP(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)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659]) ).

cnf(i_0_4991,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X3 != X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3659]) ).

cnf(i_0_4992,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661]) ).

cnf(i_0_4993,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3661]) ).

cnf(i_0_4994,plain,
    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(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662]) ).

cnf(i_0_4995,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3662]) ).

cnf(i_0_4996,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663]) ).

cnf(i_0_4997,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X3 != X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3663]) ).

cnf(i_0_4998,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674]) ).

cnf(i_0_4999,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_5000,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ epred1_3(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3674]) ).

cnf(i_0_5001,plain,
    ~ class_Groups_Oab__group__add(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707]) ).

cnf(i_0_5002,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_3832]) ).

cnf(i_0_5003,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3769]) ).

cnf(i_0_5004,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_3707]) ).

cnf(i_0_5005,plain,
    esk9_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720]) ).

cnf(i_0_5006,plain,
    ( X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(rename_variables,[],[i_0_3720]) ).

cnf(i_0_5007,plain,
    c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)),X1),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757]) ).

cnf(i_0_5008,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))) = hAPP(c_Complex_ORe,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)),X1)),
    inference(rename_variables,[],[i_0_3042]) ).

cnf(i_0_5009,plain,
    ( hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3757]) ).

cnf(i_0_5010,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805]) ).

cnf(i_0_5011,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
    | X3 != c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(rename_variables,[],[i_0_3805]) ).

cnf(i_0_5012,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861]) ).

cnf(i_0_5013,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5014,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_3861]) ).

cnf(i_0_5015,plain,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Int_Oint,hAPP(c_COMBK(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),X3)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864]) ).

cnf(i_0_5016,plain,
    hAPP(c_COMBK(X1,X2,X3),X4) = X3,
    inference(rename_variables,[],[i_0_3690]) ).

cnf(i_0_5017,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_3864]) ).

cnf(i_0_5018,plain,
    c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876]) ).

cnf(i_0_5019,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Osgn__class_Osgn(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(rename_variables,[],[i_0_3876]) ).

cnf(i_0_5020,plain,
    c_Groups_Osgn__class_Osgn(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877]) ).

cnf(i_0_5021,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Osgn__class_Osgn(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3877]) ).

cnf(i_0_5022,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878]) ).

cnf(i_0_5023,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_3878]) ).

cnf(i_0_5024,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_OIm,c_Complex_Oii),c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892]) ).

cnf(i_0_5025,plain,
    ( X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | X2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3892]) ).

cnf(i_0_5026,plain,
    c_Complex_Ocomplex_OComplex(c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_2860,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893]) ).

cnf(i_0_5027,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3893]) ).

cnf(i_0_5028,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196]) ).

cnf(i_0_5029,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5030,plain,
    class_Rings_Olinordered__ring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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))),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4059,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249]) ).

cnf(i_0_5031,plain,
    class_Rings_Olinordered__semidom(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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))),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4059,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253]) ).

cnf(i_0_5032,plain,
    class_Rings_Olinordered__idom(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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))),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4059,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256]) ).

cnf(i_0_5033,plain,
    class_Rings_Olinordered__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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))),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4059,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266]) ).

cnf(i_0_5034,plain,
    class_Rings_Olinordered__semiring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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))),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267]) ).

cnf(i_0_5035,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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))),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271]) ).

cnf(i_0_5036,plain,
    tc_Int_Oint != tc_Nat_Onat,
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279]) ).

cnf(i_0_5037,plain,
    class_RealVector_Ometric__space(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4042,i_0_4067,i_0_4074,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311]) ).

cnf(i_0_5038,plain,
    class_Rings_Omult__zero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312]) ).

cnf(i_0_5039,plain,
    class_Rings_Ono__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4097,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313]) ).

cnf(i_0_5040,plain,
    class_Rings_Ozero__neq__one(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4097,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314]) ).

cnf(i_0_5041,plain,
    class_Rings_Oring__no__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315]) ).

cnf(i_0_5042,plain,
    class_Rings_Oring__1__no__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316]) ).

cnf(i_0_5043,plain,
    class_Groups_Omonoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317]) ).

cnf(i_0_5044,plain,
    class_RealVector_Oreal__normed__algebra(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318]) ).

cnf(i_0_5045,plain,
    class_Groups_Ocomm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319]) ).

cnf(i_0_5046,plain,
    class_Rings_Odivision__ring__inverse__zero(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320]) ).

cnf(i_0_5047,plain,
    class_Groups_Ozero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321]) ).

cnf(i_0_5048,plain,
    class_Groups_Osgn__if(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322]) ).

cnf(i_0_5049,plain,
    class_Rings_Ocomm__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323]) ).

cnf(i_0_5050,plain,
    class_Rings_Ocomm__semiring__0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324]) ).

cnf(i_0_5051,plain,
    class_Groups_Ocancel__comm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325]) ).

cnf(i_0_5052,plain,
    class_Rings_Oidom(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326]) ).

cnf(i_0_5053,plain,
    class_Groups_Oone(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327]) ).

cnf(i_0_5054,plain,
    class_Groups_Oordered__ab__group__add__abs(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4006,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330]) ).

cnf(i_0_5055,plain,
    class_RealVector_Oreal__normed__field(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4006,i_0_4010,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247]) ).

cnf(i_0_5056,plain,
    class_RealVector_Oreal__field(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4023,i_0_4039,i_0_4042,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248]) ).

cnf(i_0_5057,plain,
    class_Rings_Olinordered__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4023,i_0_4039,i_0_4042,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250]) ).

cnf(i_0_5058,plain,
    class_Rings_Olinordered__semiring__1__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4023,i_0_4039,i_0_4042,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251]) ).

cnf(i_0_5059,plain,
    class_Rings_Olinordered__semiring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252]) ).

cnf(i_0_5060,plain,
    class_Orderings_Oorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254]) ).

cnf(i_0_5061,plain,
    class_Rings_Ocomm__ring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255]) ).

cnf(i_0_5062,plain,
    class_RealVector_Oreal__normed__vector(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257]) ).

cnf(i_0_5063,plain,
    class_Rings_Oring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258]) ).

cnf(i_0_5064,plain,
    class_Rings_Osemiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259]) ).

cnf(i_0_5065,plain,
    ~ epred1_3(hAPP(c_COMBK(X1,X2,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X4))),X5),X4,X3),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260]) ).

cnf(i_0_5066,plain,
    hAPP(c_COMBK(X1,X2,X3),X4) = X3,
    inference(rename_variables,[],[i_0_3690]) ).

cnf(i_0_5067,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_COMBK(X1,X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X4),X5),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261]) ).

cnf(i_0_5068,plain,
    hAPP(c_COMBK(X1,X2,X3),X4) = X3,
    inference(rename_variables,[],[i_0_3690]) ).

cnf(i_0_5069,plain,
    class_RealVector_Oreal__normed__algebra__1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265]) ).

cnf(i_0_5070,plain,
    class_Rings_Oordered__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268]) ).

cnf(i_0_5071,plain,
    class_Orderings_Oord(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270]) ).

cnf(i_0_5072,plain,
    class_Groups_Omonoid__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272]) ).

cnf(i_0_5073,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4057,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273]) ).

cnf(i_0_5074,plain,
    class_Rings_Olinordered__comm__semiring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274]) ).

cnf(i_0_5075,plain,
    class_Rings_Oordered__comm__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275]) ).

cnf(i_0_5076,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276]) ).

cnf(i_0_5077,plain,
    class_Groups_Oordered__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277]) ).

cnf(i_0_5078,plain,
    class_Rings_Ocomm__semiring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278]) ).

cnf(i_0_5079,plain,
    class_Groups_Olinordered__ab__group__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280]) ).

cnf(i_0_5080,plain,
    class_Rings_Oordered__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281]) ).

cnf(i_0_5081,plain,
    class_Rings_Oordered__cancel__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286]) ).

cnf(i_0_5082,plain,
    class_Groups_Oordered__comm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287]) ).

cnf(i_0_5083,plain,
    class_Fields_Ofield(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4004,i_0_4006,i_0_4010,i_0_4014,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288]) ).

cnf(i_0_5084,plain,
    tc_Complex_Ocomplex != tc_Nat_Onat,
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4004,i_0_4006,i_0_4010,i_0_4014,i_0_4021,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289]) ).

cnf(i_0_5085,plain,
    class_Rings_Odivision__ring(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4014,i_0_4021,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290]) ).

cnf(i_0_5086,plain,
    class_Fields_Ofield__inverse__zero(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4014,i_0_4021,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291]) ).

cnf(i_0_5087,plain,
    class_Groups_Ocomm__monoid__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4014,i_0_4021,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292]) ).

cnf(i_0_5088,plain,
    class_Rings_Ocomm__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4014,i_0_4021,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293]) ).

cnf(i_0_5089,plain,
    class_Rings_Oordered__ring__abs(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4014,i_0_4021,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296]) ).

cnf(i_0_5090,plain,
    class_Rings_Oring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297]) ).

cnf(i_0_5091,plain,
    class_Divides_Osemiring__div(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298]) ).

cnf(i_0_5092,plain,
    class_Power_Opower(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299]) ).

cnf(i_0_5093,plain,
    class_Groups_Oab__semigroup__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300]) ).

cnf(i_0_5094,plain,
    class_Groups_Oab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301]) ).

cnf(i_0_5095,plain,
    class_Orderings_Opreorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302]) ).

cnf(i_0_5096,plain,
    tc_RealDef_Oreal != tc_Nat_Onat,
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303]) ).

cnf(i_0_5097,plain,
    class_Orderings_Olinorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304]) ).

cnf(i_0_5098,plain,
    class_RealVector_Oreal__normed__div__algebra(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305]) ).

cnf(i_0_5099,plain,
    class_Rings_Osemiring__0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308]) ).

cnf(i_0_5100,plain,
    class_Groups_Ocancel__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309]) ).

cnf(i_0_5101,plain,
    class_Groups_Ocancel__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310]) ).

cnf(i_0_5102,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078]) ).

cnf(i_0_5103,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_5104,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5105,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3078]) ).

cnf(i_0_5106,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),X2)),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_4417,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079]) ).

cnf(i_0_5107,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_4417]) ).

cnf(i_0_5108,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3079]) ).

cnf(i_0_5109,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),X2)),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_4417,i_0_5107,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080]) ).

cnf(i_0_5110,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_4417]) ).

cnf(i_0_5111,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3080]) ).

cnf(i_0_5112,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_4417,i_0_5107,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081]) ).

cnf(i_0_5113,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_5114,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3081]) ).

cnf(i_0_5115,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(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_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_4417,i_0_5107,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276]) ).

cnf(i_0_5116,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | c_Groups_Ominus__class_Ominus(X1,X4,X5) != c_Groups_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3276]) ).

cnf(i_0_5117,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(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_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_4417,i_0_5107,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277]) ).

cnf(i_0_5118,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3277]) ).

cnf(i_0_5119,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1) != c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X2)),X3)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_4417,i_0_5107,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278]) ).

cnf(i_0_5120,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | c_Groups_Ominus__class_Ominus(X1,X4,X5) != c_Groups_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3278]) ).

cnf(i_0_5121,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2)) != c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X3),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_4417,i_0_5107,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279]) ).

cnf(i_0_5122,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3279]) ).

cnf(i_0_5123,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_4417,i_0_5107,i_0_5110,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334]) ).

cnf(i_0_5124,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_4417]) ).

cnf(i_0_5125,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3334]) ).

cnf(i_0_5126,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(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))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_4417,i_0_5107,i_0_5110,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335]) ).

cnf(i_0_5127,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_5128,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3335]) ).

cnf(i_0_5129,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),hAPP(c_Complex_ORe,X1))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336]) ).

cnf(i_0_5130,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_4417]) ).

cnf(i_0_5131,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3336]) ).

cnf(i_0_5132,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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))),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337]) ).

cnf(i_0_5133,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3337]) ).

cnf(i_0_5134,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338]) ).

cnf(i_0_5135,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_5136,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3338]) ).

cnf(i_0_5137,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339]) ).

cnf(i_0_5138,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3339]) ).

cnf(i_0_5139,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X2))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340]) ).

cnf(i_0_5140,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3340]) ).

cnf(i_0_5141,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341]) ).

cnf(i_0_5142,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)))),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_5143,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3341]) ).

cnf(i_0_5144,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(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_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395]) ).

cnf(i_0_5145,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2))),
    inference(rename_variables,[],[i_0_3207]) ).

cnf(i_0_5146,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3395]) ).

cnf(i_0_5147,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504]) ).

cnf(i_0_5148,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3504]) ).

cnf(i_0_5149,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506]) ).

cnf(i_0_5150,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3506]) ).

cnf(i_0_5151,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507]) ).

cnf(i_0_5152,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)),X1)),
    inference(rename_variables,[],[i_0_3176]) ).

cnf(i_0_5153,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3673]) ).

cnf(i_0_5154,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_3507]) ).

cnf(i_0_5155,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576]) ).

cnf(i_0_5156,plain,
    ~ hBOOL(hAPP(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_3426]) ).

cnf(i_0_5157,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3576]) ).

cnf(i_0_5158,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585]) ).

cnf(i_0_5159,plain,
    ~ hBOOL(hAPP(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_3426]) ).

cnf(i_0_5160,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3585]) ).

cnf(i_0_5161,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620]) ).

cnf(i_0_5162,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_5163,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))),X4))
    | ~ hBOOL(hAPP(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_2620]) ).

cnf(i_0_5164,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774]) ).

cnf(i_0_5165,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_5166,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5167,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3)) ),
    inference(rename_variables,[],[i_0_2774]) ).

cnf(i_0_5168,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),X1)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835]) ).

cnf(i_0_5169,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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_2719]) ).

cnf(i_0_5170,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(rename_variables,[],[i_0_3105]) ).

cnf(i_0_5171,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2835]) ).

cnf(i_0_5172,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),X1)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836]) ).

cnf(i_0_5173,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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_2719]) ).

cnf(i_0_5174,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(rename_variables,[],[i_0_3105]) ).

cnf(i_0_5175,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2836]) ).

cnf(i_0_5176,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837]) ).

cnf(i_0_5177,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2)),
    inference(rename_variables,[],[i_0_3010]) ).

cnf(i_0_5178,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_5179,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk73_3(X1,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),esk74_3(X1,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859]) ).

cnf(i_0_5180,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk73_3(X2,X1,X3))),esk74_3(X2,X1,X3))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_2859]) ).

cnf(i_0_5181,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915]) ).

cnf(i_0_5182,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5183,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2915]) ).

cnf(i_0_5184,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916]) ).

cnf(i_0_5185,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_5186,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_2916]) ).

cnf(i_0_5187,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920]) ).

cnf(i_0_5188,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_5189,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_2920]) ).

cnf(i_0_5190,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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,X1))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921]) ).

cnf(i_0_5191,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_2921]) ).

cnf(i_0_5192,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932]) ).

cnf(i_0_5193,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5194,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_2932]) ).

cnf(i_0_5195,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028]) ).

cnf(i_0_5196,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_5197,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X3))
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3028]) ).

cnf(i_0_5198,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(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_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(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)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039]) ).

cnf(i_0_5199,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5200,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1))
    | X4 = c_Groups_Ozero__class_Ozero(X3)
    | ~ class_Fields_Ofield(X3) ),
    inference(rename_variables,[],[i_0_3039]) ).

cnf(i_0_5201,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) = hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083]) ).

cnf(i_0_5202,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5203,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(rename_variables,[],[i_0_3083]) ).

cnf(i_0_5204,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = hAPP(hAPP(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))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098]) ).

cnf(i_0_5205,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_5206,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(rename_variables,[],[i_0_3098]) ).

cnf(i_0_5207,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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,X1))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099]) ).

cnf(i_0_5208,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(rename_variables,[],[i_0_3099]) ).

cnf(i_0_5209,plain,
    c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104]) ).

cnf(i_0_5210,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(rename_variables,[],[i_0_3104]) ).

cnf(i_0_5211,plain,
    epred1_3(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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)),X2),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143]) ).

cnf(i_0_5212,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_5213,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(X2,esk73_3(X3,X1,X2)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_3143]) ).

cnf(i_0_5214,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X1,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211]) ).

cnf(i_0_5215,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X2,X1,X3)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3211]) ).

cnf(i_0_5216,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260]) ).

cnf(i_0_5217,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_5218,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_5219,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3769]) ).

cnf(i_0_5220,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_3260]) ).

cnf(i_0_5221,plain,
    ~ c_SEQ_Odecseq(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292]) ).

cnf(i_0_5222,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_5223,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,hAPP(X4,X2)),hAPP(X4,X1)))
    | ~ c_SEQ_Odecseq(X3,X4)
    | ~ class_Orderings_Oorder(X3) ),
    inference(rename_variables,[],[i_0_3292]) ).

cnf(i_0_5224,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(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_Int_Oint)) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(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_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346]) ).

cnf(i_0_5225,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_5226,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2))
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)
    | ~ class_Rings_Olinordered__semidom(X1)
    | X3 = X4 ),
    inference(rename_variables,[],[i_0_3346]) ).

cnf(i_0_5227,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk23_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352]) ).

cnf(i_0_5228,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_5229,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_5230,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_5231,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),esk23_2(X3,X1)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,X3)) ),
    inference(rename_variables,[],[i_0_3352]) ).

cnf(i_0_5232,plain,
    epred1_3(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),X1),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411]) ).

cnf(i_0_5233,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_5234,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5235,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | epred1_3(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_3411]) ).

cnf(i_0_5236,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(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_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441]) ).

cnf(i_0_5237,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2))),
    inference(rename_variables,[],[i_0_3207]) ).

cnf(i_0_5238,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Oorder(X1)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_3441]) ).

cnf(i_0_5239,plain,
    c_Divides_Odiv__class_Odiv(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472]) ).

cnf(i_0_5240,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_4414]) ).

cnf(i_0_5241,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3472]) ).

cnf(i_0_5242,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_COMBK(X1,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)),X3)) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533]) ).

cnf(i_0_5243,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_5244,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1) = X1,
    inference(rename_variables,[],[i_0_3849]) ).

cnf(i_0_5245,plain,
    hAPP(c_COMBK(X1,X2,X3),X4) = X3,
    inference(rename_variables,[],[i_0_3690]) ).

cnf(i_0_5246,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X2 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3533]) ).

cnf(i_0_5247,plain,
    hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Ocomplex_Ocomplex__case(X1,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(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,
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637]) ).

cnf(i_0_5248,plain,
    c_Complex_Ocomplex_Ocomplex__case(X1,X2,c_Complex_Ocomplex_OComplex(X3,X4)) = hAPP(hAPP(X2,X3),X4),
    inference(rename_variables,[],[i_0_3693]) ).

cnf(i_0_5249,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5250,plain,
    ( X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X4)
    | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),X1),X4) = X3
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3637]) ).

cnf(i_0_5251,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_Ocomplex__case(X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(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,
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3734,i_0_4757,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638]) ).

cnf(i_0_5252,plain,
    c_Complex_Ocomplex_Ocomplex__case(X1,X2,c_Complex_Ocomplex_OComplex(X3,X4)) = hAPP(hAPP(X2,X3),X4),
    inference(rename_variables,[],[i_0_3693]) ).

cnf(i_0_5253,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5254,plain,
    ( X1 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),X3),X4)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4) = X3
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3638]) ).

cnf(i_0_5255,plain,
    X1 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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)),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640]) ).

cnf(i_0_5256,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
    inference(rename_variables,[],[i_0_3733]) ).

cnf(i_0_5257,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5258,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) != X4
    | X2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(rename_variables,[],[i_0_3640]) ).

cnf(i_0_5259,plain,
    c_Complex_Ocomplex_Ocomplex__case(X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703]) ).

cnf(i_0_5260,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5261,plain,
    ( hAPP(hAPP(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_3703]) ).

cnf(i_0_5262,plain,
    c_Complex_Ocomplex_Ocomplex__case(X1,c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706]) ).

cnf(i_0_5263,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5264,plain,
    ( hAPP(hAPP(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_3706]) ).

cnf(i_0_5265,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_3769,i_0_4947,i_0_5003,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344]) ).

cnf(i_0_5266,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5267,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ epred1_3(X3,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X4)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(X3,X4)) ),
    inference(rename_variables,[],[i_0_4344]) ).

cnf(i_0_5268,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928]) ).

cnf(i_0_5269,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_5270,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_5271,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(rename_variables,[],[i_0_3769]) ).

cnf(i_0_5272,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
    | ~ class_Rings_Olinordered__semidom(X1)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_2928]) ).

cnf(i_0_5273,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(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_Oone__class_Oone(tc_Int_Oint)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166]) ).

cnf(i_0_5274,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1),
    inference(rename_variables,[],[i_0_3734]) ).

cnf(i_0_5275,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5276,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X6))
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
    | X4 = X6
    | X2 != X5 ),
    inference(rename_variables,[],[i_0_3166]) ).

cnf(i_0_5277,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(hAPP(hAPP(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_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220]) ).

cnf(i_0_5278,plain,
    hBOOL(hAPP(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_3669]) ).

cnf(i_0_5279,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2) != c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3220]) ).

cnf(i_0_5280,plain,
    hAPP(hAPP(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_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221]) ).

cnf(i_0_5281,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3221]) ).

cnf(i_0_5282,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038]) ).

cnf(i_0_5283,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_5284,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_5285,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5286,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4))
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4)
    | X2 = X3
    | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_3038]) ).

cnf(i_0_5287,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(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_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247]) ).

cnf(i_0_5288,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2))),
    inference(rename_variables,[],[i_0_3207]) ).

cnf(i_0_5289,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2) = c_Groups_Ozero__class_Ozero(X1)
    | X3 != c_Groups_Ozero__class_Ozero(X1)
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3247]) ).

cnf(i_0_5290,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421]) ).

cnf(i_0_5291,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5292,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)
    | hAPP(hAPP(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_4421]) ).

cnf(i_0_5293,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625]) ).

cnf(i_0_5294,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
    inference(rename_variables,[],[i_0_3625]) ).

cnf(i_0_5295,plain,
    hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767]) ).

cnf(i_0_5296,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3767]) ).

cnf(i_0_5297,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773]) ).

cnf(i_0_5298,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_2773]) ).

cnf(i_0_5299,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893]) ).

cnf(i_0_5300,plain,
    ( ~ hBOOL(hAPP(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)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_2893]) ).

cnf(i_0_5301,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2)))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089]) ).

cnf(i_0_5302,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3089]) ).

cnf(i_0_5303,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1))),X1)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118]) ).

cnf(i_0_5304,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_3118]) ).

cnf(i_0_5305,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420]) ).

cnf(i_0_5306,plain,
    ( ~ hBOOL(hAPP(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(rename_variables,[],[i_0_3420]) ).

cnf(i_0_5307,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496]) ).

cnf(i_0_5308,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(rename_variables,[],[i_0_3496]) ).

cnf(i_0_5309,plain,
    c_RComplete_Onatceiling(hAPP(hAPP(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_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572]) ).

cnf(i_0_5310,plain,
    ( hBOOL(hAPP(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(rename_variables,[],[i_0_3572]) ).

cnf(i_0_5311,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623]) ).

cnf(i_0_5312,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1)) ),
    inference(rename_variables,[],[i_0_3623]) ).

cnf(i_0_5313,plain,
    c_RComplete_Onatfloor(hAPP(hAPP(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_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666]) ).

cnf(i_0_5314,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | c_RComplete_Onatfloor(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3666]) ).

cnf(i_0_5315,plain,
    c_RComplete_Onatceiling(hAPP(hAPP(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_Nat_Onat),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667]) ).

cnf(i_0_5316,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | c_RComplete_Onatceiling(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3667]) ).

cnf(i_0_5317,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761]) ).

cnf(i_0_5318,plain,
    ( hAPP(hAPP(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_3761]) ).

cnf(i_0_5319,plain,
    hAPP(hAPP(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)) != hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216]) ).

cnf(i_0_5320,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754]) ).

cnf(i_0_5321,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_2754]) ).

cnf(i_0_5322,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596]) ).

cnf(i_0_5323,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3596]) ).

cnf(i_0_5324,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598]) ).

cnf(i_0_5325,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3598]) ).

cnf(i_0_5326,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),c_Groups_Oone__class_Oone(tc_Int_Oint)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727]) ).

cnf(i_0_5327,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3727]) ).

cnf(i_0_5328,plain,
    ( esk45_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),hAPP(hAPP(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)
    | esk45_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652]) ).

cnf(i_0_5329,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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 = hAPP(hAPP(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_2652]) ).

cnf(i_0_5330,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(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)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821]) ).

cnf(i_0_5331,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_5332,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_2821]) ).

cnf(i_0_5333,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),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) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863]) ).

cnf(i_0_5334,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
    | ~ class_Groups_Omonoid__mult(X2) ),
    inference(rename_variables,[],[i_0_2863]) ).

cnf(i_0_5335,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012]) ).

cnf(i_0_5336,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5337,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))) ),
    inference(rename_variables,[],[i_0_3012]) ).

cnf(i_0_5338,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(hAPP(hAPP(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_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210]) ).

cnf(i_0_5339,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_5340,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X2))) ),
    inference(rename_variables,[],[i_0_3210]) ).

cnf(i_0_5341,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375]) ).

cnf(i_0_5342,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X1)) ),
    inference(rename_variables,[],[i_0_3375]) ).

cnf(i_0_5343,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527]) ).

cnf(i_0_5344,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Ozero__class_Ozero(X1)))
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3527]) ).

cnf(i_0_5345,plain,
    class_Fields_Olinordered__field(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk73_3(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),esk74_3(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263]) ).

cnf(i_0_5346,plain,
    class_Fields_Olinordered__field__inverse__zero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk73_3(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),esk74_3(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264]) ).

cnf(i_0_5347,plain,
    c_SEQ_Osubseq(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk4_0)),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269]) ).

cnf(i_0_5348,plain,
    ~ c_SEQ_Odecseq(hAPP(c_COMBK(X1,X2,tc_Nat_Onat),X3),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284]) ).

cnf(i_0_5349,plain,
    hAPP(c_COMBK(X1,X2,X3),X4) = X3,
    inference(rename_variables,[],[i_0_3690]) ).

cnf(i_0_5350,plain,
    ~ c_SEQ_Odecseq(tc_Nat_Onat,hAPP(c_COMBB(X1,X2,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285]) ).

cnf(i_0_5351,plain,
    hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X4,hAPP(X5,X6)),
    inference(rename_variables,[],[i_0_2613]) ).

cnf(i_0_5352,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029]) ).

cnf(i_0_5353,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ class_Rings_Olinordered__semiring__strict(X1) ),
    inference(rename_variables,[],[i_0_3029]) ).

cnf(i_0_5354,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029,i_0_3249]) ).

cnf(i_0_5355,plain,
    ( hBOOL(hAPP(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))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3249]) ).

cnf(i_0_5356,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(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_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029,i_0_3249,i_0_3405]) ).

cnf(i_0_5357,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) ),
    inference(rename_variables,[],[i_0_3405]) ).

cnf(i_0_5358,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029,i_0_3249,i_0_3405,i_0_4198]) ).

cnf(i_0_5359,plain,
    ( X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),esk69_3(X2,X1,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),esk70_3(X2,X1,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_5336,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029,i_0_3249,i_0_3405,i_0_4198,i_0_2784]) ).

cnf(i_0_5360,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5361,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),esk69_3(X3,X2,X1))),esk70_3(X3,X2,X1)) ),
    inference(rename_variables,[],[i_0_2784]) ).

cnf(i_0_5362,plain,
    ( c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_5336,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_5339,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029,i_0_3249,i_0_3405,i_0_4198,i_0_2784,i_0_2790]) ).

cnf(i_0_5363,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_5364,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2)),X1))
    | c_RComplete_Onatceiling(X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_2790]) ).

cnf(i_0_5365,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_5243,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_5336,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_5339,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029,i_0_3249,i_0_3405,i_0_4198,i_0_2784,i_0_2790,i_0_3008]) ).

cnf(i_0_5366,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4372]) ).

cnf(i_0_5367,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
    inference(rename_variables,[],[i_0_3008]) ).

cnf(i_0_5368,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk69_3(X1,X2,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_5243,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_5336,i_0_5360,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_5339,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029,i_0_3249,i_0_3405,i_0_4198,i_0_2784,i_0_2790,i_0_3008,i_0_3014]) ).

cnf(i_0_5369,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5370,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | ~ hBOOL(hAPP(X1,esk69_3(X3,X2,X1))) ),
    inference(rename_variables,[],[i_0_3014]) ).

cnf(i_0_5371,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk65_3(X1,X2,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) ),
    inference(scs_inference,[],[i_0_2860,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4527,i_0_4530,i_0_4571,i_0_4599,i_0_4686,i_0_4775,i_0_4782,i_0_4819,i_0_4822,i_0_4826,i_0_4840,i_0_4867,i_0_4875,i_0_4878,i_0_4902,i_0_4999,i_0_5103,i_0_5127,i_0_5135,i_0_5228,i_0_5233,i_0_4417,i_0_5107,i_0_5110,i_0_5124,i_0_3834,i_0_4418,i_0_4372,i_0_4740,i_0_4754,i_0_4802,i_0_4805,i_0_4921,i_0_5162,i_0_5165,i_0_5196,i_0_5225,i_0_5230,i_0_5243,i_0_4386,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4029,i_0_4030,i_0_4048,i_0_4051,i_0_4059,i_0_4060,i_0_4148,i_0_4150,i_0_4177,i_0_4178,i_0_4188,i_0_4189,i_0_4190,i_0_3973,i_0_3693,i_0_4951,i_0_5248,i_0_2611,i_0_2613,i_0_3690,i_0_5016,i_0_5066,i_0_5068,i_0_5245,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4757,i_0_4760,i_0_3849,i_0_3680,i_0_3696,i_0_4476,i_0_4493,i_0_4580,i_0_4785,i_0_4816,i_0_4853,i_0_4881,i_0_4891,i_0_3772,i_0_4456,i_0_4498,i_0_4511,i_0_4689,i_0_4705,i_0_4745,i_0_4810,i_0_4813,i_0_4825,i_0_4844,i_0_4856,i_0_4859,i_0_4862,i_0_4884,i_0_4899,i_0_4905,i_0_4933,i_0_4974,i_0_5104,i_0_5166,i_0_5182,i_0_5193,i_0_5202,i_0_5234,i_0_5266,i_0_5336,i_0_5360,i_0_5369,i_0_3773,i_0_4465,i_0_4473,i_0_4771,i_0_4790,i_0_4946,i_0_5188,i_0_5218,i_0_5229,i_0_5270,i_0_5284,i_0_3774,i_0_4555,i_0_4558,i_0_4574,i_0_4577,i_0_4607,i_0_4610,i_0_4613,i_0_4872,i_0_4892,i_0_5113,i_0_5185,i_0_5205,i_0_5339,i_0_3669,i_0_4718,i_0_3653,i_0_3721,i_0_3722,i_0_3528,i_0_3673,i_0_4734,i_0_4835,i_0_4985,i_0_2582,i_0_3426,i_0_5156,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4763,i_0_4766,i_0_4772,i_0_4779,i_0_4918,i_0_4950,i_0_4965,i_0_5212,i_0_5217,i_0_5222,i_0_5269,i_0_3298,i_0_3414,i_0_3176,i_0_4648,i_0_2818,i_0_4462,i_0_2819,i_0_3105,i_0_4468,i_0_4700,i_0_5170,i_0_2688,i_0_3649,i_0_4459,i_0_4520,i_0_3742,i_0_3207,i_0_4962,i_0_5145,i_0_5237,i_0_3457,i_0_4479,i_0_4484,i_0_4487,i_0_2986,i_0_4542,i_0_4545,i_0_4737,i_0_4778,i_0_3149,i_0_2719,i_0_4793,i_0_5169,i_0_2633,i_0_4924,i_0_4927,i_0_3343,i_0_3009,i_0_4533,i_0_4536,i_0_4539,i_0_4591,i_0_3010,i_0_4552,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_3998,i_0_3999,i_0_4000,i_0_4002,i_0_4004,i_0_4006,i_0_4008,i_0_4009,i_0_4010,i_0_4012,i_0_4014,i_0_4017,i_0_4021,i_0_4023,i_0_4028,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4047,i_0_4054,i_0_4057,i_0_4061,i_0_4064,i_0_4067,i_0_4069,i_0_4070,i_0_4071,i_0_4072,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4094,i_0_4095,i_0_4097,i_0_4101,i_0_4103,i_0_4107,i_0_4109,i_0_4111,i_0_4112,i_0_4115,i_0_4119,i_0_4120,i_0_4121,i_0_4122,i_0_4123,i_0_4125,i_0_4126,i_0_4127,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4136,i_0_4137,i_0_4138,i_0_4142,i_0_4143,i_0_4144,i_0_4145,i_0_4151,i_0_4152,i_0_4153,i_0_4157,i_0_4161,i_0_4165,i_0_4169,i_0_4173,i_0_4179,i_0_4183,i_0_4184,i_0_4185,i_0_4187,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4665,i_0_4670,i_0_4673,i_0_4676,i_0_4683,i_0_4697,i_0_4841,i_0_4845,i_0_4849,i_0_5013,i_0_5029,i_0_5199,i_0_5249,i_0_5253,i_0_5257,i_0_5260,i_0_5263,i_0_5275,i_0_5285,i_0_3769,i_0_4947,i_0_5003,i_0_5219,i_0_3752,i_0_3551,i_0_4356,i_0_2689,i_0_2772,i_0_2811,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3415,i_0_3419,i_0_3424,i_0_3425,i_0_3427,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_4195,i_0_4197,i_0_4246,i_0_2752,i_0_2856,i_0_3190,i_0_3302,i_0_3321,i_0_3377,i_0_3516,i_0_3518,i_0_3539,i_0_3655,i_0_3725,i_0_3726,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2896,i_0_2898,i_0_2902,i_0_2904,i_0_2908,i_0_2942,i_0_2949,i_0_2953,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3000,i_0_3001,i_0_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3047,i_0_3060,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3181,i_0_3191,i_0_3196,i_0_3197,i_0_3199,i_0_3208,i_0_3217,i_0_3222,i_0_3224,i_0_3235,i_0_3236,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3347,i_0_3353,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3394,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476,i_0_3480,i_0_3481,i_0_3482,i_0_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3589,i_0_3591,i_0_3618,i_0_3626,i_0_3659,i_0_3661,i_0_3662,i_0_3663,i_0_3674,i_0_3707,i_0_3720,i_0_3757,i_0_3805,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893,i_0_4196,i_0_4249,i_0_4253,i_0_4256,i_0_4266,i_0_4267,i_0_4271,i_0_4279,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4265,i_0_4268,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4303,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_3078,i_0_3079,i_0_3080,i_0_3081,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3334,i_0_3335,i_0_3336,i_0_3337,i_0_3338,i_0_3339,i_0_3340,i_0_3341,i_0_3395,i_0_3504,i_0_3506,i_0_3507,i_0_3576,i_0_3585,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2859,i_0_2915,i_0_2916,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3039,i_0_3083,i_0_3098,i_0_3099,i_0_3104,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3346,i_0_3352,i_0_3411,i_0_3441,i_0_3472,i_0_3533,i_0_3637,i_0_3638,i_0_3640,i_0_3703,i_0_3706,i_0_4344,i_0_2928,i_0_3166,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_2773,i_0_2893,i_0_3089,i_0_3118,i_0_3420,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4216,i_0_2754,i_0_3596,i_0_3598,i_0_3727,i_0_2652,i_0_2821,i_0_2863,i_0_3012,i_0_3210,i_0_3375,i_0_3527,i_0_4263,i_0_4264,i_0_4269,i_0_4284,i_0_4285,i_0_3029,i_0_3249,i_0_3405,i_0_4198,i_0_2784,i_0_2790,i_0_3008,i_0_3014,i_0_3015]) ).

cnf(i_0_5372,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
    inference(rename_variables,[],[i_0_3772]) ).

cnf(i_0_5373,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
    | ~ hBOOL(hAPP(X1,esk65_3(X3,X2,X1))) ),
    inference(rename_variables,[],[i_0_3015]) ).

cnf(i_0_5374,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4678,i_0_3760]) ).

cnf(i_0_5375,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X2)),X3) = X3,
    inference(rename_variables,[],[i_0_4678]) ).

cnf(i_0_5376,plain,
    ( hAPP(hAPP(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) ),
    inference(rename_variables,[],[i_0_3760]) ).

cnf(i_0_5377,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_5119,i_0_4678,i_0_3760,i_0_4215]) ).

cnf(i_0_5378,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1) != c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X2)),X3)),
    inference(rename_variables,[],[i_0_5119]) ).

cnf(i_0_5379,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X2))),
    inference(scs_inference,[],[i_0_5119,i_0_4678,i_0_4736,i_0_3760,i_0_4215,i_0_2978]) ).

cnf(i_0_5380,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(rename_variables,[],[i_0_2978]) ).

cnf(i_0_5381,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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_5119,i_0_4678,i_0_4736,i_0_4623,i_0_3760,i_0_4215,i_0_2978,i_0_3495]) ).

cnf(i_0_5382,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4623]) ).

cnf(i_0_5383,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(rename_variables,[],[i_0_3495]) ).

cnf(i_0_5384,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_5119,i_0_4678,i_0_4762,i_0_4736,i_0_4623,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771]) ).

cnf(i_0_5385,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)),X3)) = X3,
    inference(rename_variables,[],[i_0_4762]) ).

cnf(i_0_5386,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != X1
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3771]) ).

cnf(i_0_5387,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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)))),
    inference(scs_inference,[],[i_0_5119,i_0_4678,i_0_4762,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933]) ).

cnf(i_0_5388,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4623]) ).

cnf(i_0_5389,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_2933]) ).

cnf(i_0_5390,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))),X2)),
    inference(scs_inference,[],[i_0_5119,i_0_4678,i_0_4762,i_0_4538,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970]) ).

cnf(i_0_5391,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)),X2)),
    inference(rename_variables,[],[i_0_4538]) ).

cnf(i_0_5392,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_2970]) ).

cnf(i_0_5393,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(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_5119,i_0_4678,i_0_4762,i_0_4538,i_0_5176,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092]) ).

cnf(i_0_5394,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)),X2)),
    inference(rename_variables,[],[i_0_5176]) ).

cnf(i_0_5395,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3092]) ).

cnf(i_0_5396,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5119,i_0_4678,i_0_4762,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127]) ).

cnf(i_0_5397,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)),X2)),
    inference(rename_variables,[],[i_0_5176]) ).

cnf(i_0_5398,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_3127]) ).

cnf(i_0_5399,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk45_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(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_5119,i_0_4678,i_0_4762,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173]) ).

cnf(i_0_5400,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_4847]) ).

cnf(i_0_5401,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3173]) ).

cnf(i_0_5402,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(scs_inference,[],[i_0_4699,i_0_5119,i_0_4678,i_0_4762,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551]) ).

cnf(i_0_5403,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
    inference(rename_variables,[],[i_0_3551]) ).

cnf(i_0_5404,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),X2) != X2,
    inference(scs_inference,[],[i_0_5106,i_0_4699,i_0_5119,i_0_4678,i_0_4762,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767]) ).

cnf(i_0_5405,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3767]) ).

cnf(i_0_5406,plain,
    hBOOL(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1),X3)),X2)),
    inference(scs_inference,[],[i_0_5106,i_0_4699,i_0_5119,i_0_3177,i_0_4678,i_0_4762,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356]) ).

cnf(i_0_5407,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_5408,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3),X2)))
    | hBOOL(hAPP(X1,X3)) ),
    inference(rename_variables,[],[i_0_4356]) ).

cnf(i_0_5409,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_5106,i_0_4699,i_0_5119,i_0_3177,i_0_5407,i_0_4678,i_0_4762,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854]) ).

cnf(i_0_5410,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rename_variables,[],[i_0_2854]) ).

cnf(i_0_5411,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(scs_inference,[],[i_0_5106,i_0_4715,i_0_4699,i_0_5119,i_0_3177,i_0_5407,i_0_4678,i_0_4762,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864]) ).

cnf(i_0_5412,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | hBOOL(hAPP(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_2864]) ).

cnf(i_0_5413,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(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)) = hAPP(hAPP(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_5106,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_4678,i_0_4762,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911]) ).

cnf(i_0_5414,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5415,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(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 ),
    inference(rename_variables,[],[i_0_2911]) ).

cnf(i_0_5416,plain,
    ~ hBOOL(hAPP(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_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_5106,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120]) ).

cnf(i_0_5417,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(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))) ),
    inference(rename_variables,[],[i_0_3120]) ).

cnf(i_0_5418,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),X2)),
    inference(scs_inference,[],[i_0_5106,i_0_4455,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121]) ).

cnf(i_0_5419,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_5420,plain,
    ( ~ hBOOL(hAPP(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))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3121]) ).

cnf(i_0_5421,plain,
    c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5106,i_0_4455,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192]) ).

cnf(i_0_5422,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X2),X1) ),
    inference(rename_variables,[],[i_0_3192]) ).

cnf(i_0_5423,plain,
    c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_5106,i_0_4455,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193]) ).

cnf(i_0_5424,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,c_RealDef_Oreal(tc_Nat_Onat,X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X2),X1) ),
    inference(rename_variables,[],[i_0_3193]) ).

cnf(i_0_5425,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_5106,i_0_4455,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215]) ).

cnf(i_0_5426,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3),X1) ),
    inference(rename_variables,[],[i_0_3215]) ).

cnf(i_0_5427,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_5106,i_0_4455,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216]) ).

cnf(i_0_5428,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3216]) ).

cnf(i_0_5429,plain,
    epred1_3(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),X1)),X3,X2),
    inference(scs_inference,[],[i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228]) ).

cnf(i_0_5430,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_5431,plain,
    ( ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)))
    | epred1_3(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3228]) ).

cnf(i_0_5432,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2),
    inference(scs_inference,[],[i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232]) ).

cnf(i_0_5433,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3) ),
    inference(rename_variables,[],[i_0_3232]) ).

cnf(i_0_5434,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249]) ).

cnf(i_0_5435,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4529]) ).

cnf(i_0_5436,plain,
    ( hBOOL(hAPP(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))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3249]) ).

cnf(i_0_5437,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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)) = hAPP(hAPP(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_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258]) ).

cnf(i_0_5438,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5439,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hAPP(hAPP(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 ),
    inference(rename_variables,[],[i_0_3258]) ).

cnf(i_0_5440,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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)),
    inference(scs_inference,[],[i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259]) ).

cnf(i_0_5441,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | X1 = hAPP(hAPP(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(rename_variables,[],[i_0_3259]) ).

cnf(i_0_5442,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X1)),
    inference(scs_inference,[],[i_0_5102,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283]) ).

cnf(i_0_5443,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5444,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3283]) ).

cnf(i_0_5445,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X1)),
    inference(scs_inference,[],[i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284]) ).

cnf(i_0_5446,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5447,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3284]) ).

cnf(i_0_5448,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2)),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),
    inference(scs_inference,[],[i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318]) ).

cnf(i_0_5449,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X1) = X2 ),
    inference(rename_variables,[],[i_0_3318]) ).

cnf(i_0_5450,plain,
    c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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_RealDef_Oreal(tc_Nat_Onat,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(hAPP(hAPP(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)))),X2),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348]) ).

cnf(i_0_5451,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),X2) ),
    inference(rename_variables,[],[i_0_3348]) ).

cnf(i_0_5452,plain,
    c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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_RealDef_Oreal(tc_Nat_Onat,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(hAPP(hAPP(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)))),X2),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349]) ).

cnf(i_0_5453,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X1)),X2) ),
    inference(rename_variables,[],[i_0_3349]) ).

cnf(i_0_5454,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_RealDef_Oreal(tc_Nat_Onat,X2)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350]) ).

cnf(i_0_5455,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | 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)) ),
    inference(rename_variables,[],[i_0_3350]) ).

cnf(i_0_5456,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X1,esk12_0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = esk12_0,
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351]) ).

cnf(i_0_5457,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X2,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X1 ),
    inference(rename_variables,[],[i_0_3351]) ).

cnf(i_0_5458,plain,
    c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk12_0),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Transcendental_Oln(esk12_0)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356]) ).

cnf(i_0_5459,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),c_Transcendental_Oln(X1)) ),
    inference(rename_variables,[],[i_0_3356]) ).

cnf(i_0_5460,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oarccos(hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))))) = hAPP(c_Complex_OIm,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357]) ).

cnf(i_0_5461,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oarccos(X1))) = X1 ),
    inference(rename_variables,[],[i_0_3357]) ).

cnf(i_0_5462,plain,
    hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk12_0)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359]) ).

cnf(i_0_5463,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3359]) ).

cnf(i_0_5464,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))),X2,X1),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364]) ).

cnf(i_0_5465,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5466,plain,
    ( hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)))
    | ~ epred1_3(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_3364]) ).

cnf(i_0_5467,plain,
    c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(hAPP(hAPP(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_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396]) ).

cnf(i_0_5468,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3396]) ).

cnf(i_0_5469,plain,
    c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(hAPP(hAPP(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_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397]) ).

cnf(i_0_5470,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3397]) ).

cnf(i_0_5471,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(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),hAPP(hAPP(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_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412]) ).

cnf(i_0_5472,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5473,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X1) = X2 ),
    inference(rename_variables,[],[i_0_3412]) ).

cnf(i_0_5474,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(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_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413]) ).

cnf(i_0_5475,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5476,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X1) = X2 ),
    inference(rename_variables,[],[i_0_3413]) ).

cnf(i_0_5477,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2)) = X2,
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419]) ).

cnf(i_0_5478,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X1 ),
    inference(rename_variables,[],[i_0_3419]) ).

cnf(i_0_5479,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))) != X1,
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433]) ).

cnf(i_0_5480,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5481,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3433]) ).

cnf(i_0_5482,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3649,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485]) ).

cnf(i_0_5483,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)))),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_5484,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X1))) ),
    inference(rename_variables,[],[i_0_3485]) ).

cnf(i_0_5485,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486]) ).

cnf(i_0_5486,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)))),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_5487,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X1))) ),
    inference(rename_variables,[],[i_0_3486]) ).

cnf(i_0_5488,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(hAPP(c_Complex_ORe,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489]) ).

cnf(i_0_5489,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
    inference(rename_variables,[],[i_0_3489]) ).

cnf(i_0_5490,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_RComplete_Onatfloor(hAPP(hAPP(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_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491]) ).

cnf(i_0_5491,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(X2))) ),
    inference(rename_variables,[],[i_0_3491]) ).

cnf(i_0_5492,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_RComplete_Onatceiling(hAPP(hAPP(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_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492]) ).

cnf(i_0_5493,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X2))) ),
    inference(rename_variables,[],[i_0_3492]) ).

cnf(i_0_5494,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(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_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496]) ).

cnf(i_0_5495,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
    inference(rename_variables,[],[i_0_3496]) ).

cnf(i_0_5496,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk44_1(c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532]) ).

cnf(i_0_5497,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk44_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3532]) ).

cnf(i_0_5498,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk9_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558]) ).

cnf(i_0_5499,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X2,X1)) ),
    inference(rename_variables,[],[i_0_3558]) ).

cnf(i_0_5500,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk3_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559]) ).

cnf(i_0_5501,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk3_2(X2,X1)) ),
    inference(rename_variables,[],[i_0_3559]) ).

cnf(i_0_5502,plain,
    c_Nat__Transfer_Otsub(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X2)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X2)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566]) ).

cnf(i_0_5503,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | c_Nat__Transfer_Otsub(X2,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1) ),
    inference(rename_variables,[],[i_0_3566]) ).

cnf(i_0_5504,plain,
    c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(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_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577]) ).

cnf(i_0_5505,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3577]) ).

cnf(i_0_5506,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611]) ).

cnf(i_0_5507,plain,
    ( hBOOL(hAPP(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(rename_variables,[],[i_0_3611]) ).

cnf(i_0_5508,plain,
    c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(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_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619]) ).

cnf(i_0_5509,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(rename_variables,[],[i_0_4699]) ).

cnf(i_0_5510,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_3619]) ).

cnf(i_0_5511,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X3),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633]) ).

cnf(i_0_5512,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3) ),
    inference(rename_variables,[],[i_0_3633]) ).

cnf(i_0_5513,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670]) ).

cnf(i_0_5514,plain,
    ( ~ hBOOL(hAPP(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_3670]) ).

cnf(i_0_5515,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678]) ).

cnf(i_0_5516,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3678]) ).

cnf(i_0_5517,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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)),hAPP(hAPP(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(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682]) ).

cnf(i_0_5518,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3682]) ).

cnf(i_0_5519,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687]) ).

cnf(i_0_5520,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3687]) ).

cnf(i_0_5521,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4453,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688]) ).

cnf(i_0_5522,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3688]) ).

cnf(i_0_5523,plain,
    c_Nat__Transfer_Otsub(c_Groups_Oabs__class_Oabs(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728]) ).

cnf(i_0_5524,plain,
    ( hBOOL(hAPP(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(rename_variables,[],[i_0_3728]) ).

cnf(i_0_5525,plain,
    hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851]) ).

cnf(i_0_5526,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_4654]) ).

cnf(i_0_5527,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = X2
    | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3851]) ).

cnf(i_0_5528,plain,
    c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886]) ).

cnf(i_0_5529,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5530,plain,
    ( X1 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3886]) ).

cnf(i_0_5531,plain,
    c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887]) ).

cnf(i_0_5532,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5533,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3887]) ).

cnf(i_0_5534,plain,
    c_Complex_Ocomplex_OComplex(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888]) ).

cnf(i_0_5535,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5536,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3888]) ).

cnf(i_0_5537,plain,
    c_Complex_Ocomplex_OComplex(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889]) ).

cnf(i_0_5538,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5539,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3889]) ).

cnf(i_0_5540,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361]) ).

cnf(i_0_5541,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5542,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
    inference(rename_variables,[],[i_0_4361]) ).

cnf(i_0_5543,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364]) ).

cnf(i_0_5544,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_5545,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
    inference(rename_variables,[],[i_0_4364]) ).

cnf(i_0_5546,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2)),X2),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375]) ).

cnf(i_0_5547,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)),X1) ),
    inference(rename_variables,[],[i_0_4375]) ).

cnf(i_0_5548,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411]) ).

cnf(i_0_5549,plain,
    ( ~ epred1_3(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
    | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_4411]) ).

cnf(i_0_5550,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))),X1))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625]) ).

cnf(i_0_5551,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
    inference(rename_variables,[],[i_0_3625]) ).

cnf(i_0_5552,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873]) ).

cnf(i_0_5553,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))) ),
    inference(rename_variables,[],[i_0_2873]) ).

cnf(i_0_5554,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),X1)),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4467,i_0_4623,i_0_5382,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901]) ).

cnf(i_0_5555,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1)))),
    inference(rename_variables,[],[i_0_4467]) ).

cnf(i_0_5556,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_2901]) ).

cnf(i_0_5557,plain,
    ~ hBOOL(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068]) ).

cnf(i_0_5558,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),
    inference(rename_variables,[],[i_0_4492]) ).

cnf(i_0_5559,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_3068]) ).

cnf(i_0_5560,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3)),X2)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089]) ).

cnf(i_0_5561,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3089]) ).

cnf(i_0_5562,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X1)),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172]) ).

cnf(i_0_5563,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3172]) ).

cnf(i_0_5564,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))),X2)),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311]) ).

cnf(i_0_5565,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1))),X1)),
    inference(rename_variables,[],[i_0_5303]) ).

cnf(i_0_5566,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_3311]) ).

cnf(i_0_5567,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401]) ).

cnf(i_0_5568,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
    inference(rename_variables,[],[i_0_3401]) ).

cnf(i_0_5569,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X1)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435]) ).

cnf(i_0_5570,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = X2 ),
    inference(rename_variables,[],[i_0_3435]) ).

cnf(i_0_5571,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497]) ).

cnf(i_0_5572,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = X1 ),
    inference(rename_variables,[],[i_0_3497]) ).

cnf(i_0_5573,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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)),hAPP(hAPP(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(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544]) ).

cnf(i_0_5574,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
    inference(rename_variables,[],[i_0_3544]) ).

cnf(i_0_5575,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761]) ).

cnf(i_0_5576,plain,
    ( hAPP(hAPP(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_3761]) ).

cnf(i_0_5577,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(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_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352]) ).

cnf(i_0_5578,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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(rename_variables,[],[i_0_4352]) ).

cnf(i_0_5579,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1)))))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333]) ).

cnf(i_0_5580,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1)))),
    inference(rename_variables,[],[i_0_3649]) ).

cnf(i_0_5581,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X2))) ),
    inference(rename_variables,[],[i_0_3333]) ).

cnf(i_0_5582,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424]) ).

cnf(i_0_5583,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)),X2)),
    inference(rename_variables,[],[i_0_4538]) ).

cnf(i_0_5584,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(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_3424]) ).

cnf(i_0_5585,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579]) ).

cnf(i_0_5586,plain,
    ( ~ hBOOL(hAPP(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(rename_variables,[],[i_0_3579]) ).

cnf(i_0_5587,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(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_Oone__class_Oone(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623]) ).

cnf(i_0_5588,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1)) ),
    inference(rename_variables,[],[i_0_3623]) ).

cnf(i_0_5589,plain,
    c_RComplete_Onatfloor(hAPP(hAPP(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_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666]) ).

cnf(i_0_5590,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | c_RComplete_Onatfloor(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3666]) ).

cnf(i_0_5591,plain,
    c_RComplete_Onatceiling(hAPP(hAPP(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_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667]) ).

cnf(i_0_5592,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | c_RComplete_Onatceiling(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3667]) ).

cnf(i_0_5593,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961]) ).

cnf(i_0_5594,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(rename_variables,[],[i_0_3459]) ).

cnf(i_0_5595,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_2961]) ).

cnf(i_0_5596,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962]) ).

cnf(i_0_5597,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(rename_variables,[],[i_0_3459]) ).

cnf(i_0_5598,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(rename_variables,[],[i_0_2962]) ).

cnf(i_0_5599,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X3) != X2,
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434]) ).

cnf(i_0_5600,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)),X2)),
    inference(rename_variables,[],[i_0_4538]) ).

cnf(i_0_5601,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3434]) ).

cnf(i_0_5602,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549]) ).

cnf(i_0_5603,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3549]) ).

cnf(i_0_5604,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606]) ).

cnf(i_0_5605,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3606]) ).

cnf(i_0_5606,plain,
    hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686]) ).

cnf(i_0_5607,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_3686]) ).

cnf(i_0_5608,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2) != X2,
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766]) ).

cnf(i_0_5609,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_3766]) ).

cnf(i_0_5610,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248]) ).

cnf(i_0_5611,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(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))) ),
    inference(rename_variables,[],[i_0_3248]) ).

cnf(i_0_5612,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk60_2(X1,esk12_0))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415]) ).

cnf(i_0_5613,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk60_2(X2,X1))) ),
    inference(rename_variables,[],[i_0_3415]) ).

cnf(i_0_5614,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427]) ).

cnf(i_0_5615,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X1))) ),
    inference(rename_variables,[],[i_0_3427]) ).

cnf(i_0_5616,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624]) ).

cnf(i_0_5617,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_3624]) ).

cnf(i_0_5618,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255]) ).

cnf(i_0_5619,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(rename_variables,[],[i_0_4699]) ).

cnf(i_0_5620,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3255]) ).

cnf(i_0_5621,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))),X1)),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309]) ).

cnf(i_0_5622,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1))),X1)),
    inference(rename_variables,[],[i_0_5303]) ).

cnf(i_0_5623,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3309]) ).

cnf(i_0_5624,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937]) ).

cnf(i_0_5625,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1)))),
    inference(rename_variables,[],[i_0_4467]) ).

cnf(i_0_5626,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_2937]) ).

cnf(i_0_5627,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))),X2)),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313]) ).

cnf(i_0_5628,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)),X2)),
    inference(rename_variables,[],[i_0_5176]) ).

cnf(i_0_5629,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
    inference(rename_variables,[],[i_0_3313]) ).

cnf(i_0_5630,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))),X3)),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315]) ).

cnf(i_0_5631,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X2)),X2)),
    inference(rename_variables,[],[i_0_5176]) ).

cnf(i_0_5632,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_3315]) ).

cnf(i_0_5633,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk45_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118]) ).

cnf(i_0_5634,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_4847]) ).

cnf(i_0_5635,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_3118]) ).

cnf(i_0_5636,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) != hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216]) ).

cnf(i_0_5637,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195]) ).

cnf(i_0_5638,plain,
    hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != X2,
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197]) ).

cnf(i_0_5639,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5640,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198]) ).

cnf(i_0_5641,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,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_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X2),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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4497,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843]) ).

cnf(i_0_5642,plain,
    hBOOL(hAPP(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_4497]) ).

cnf(i_0_5643,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X2)) ),
    inference(rename_variables,[],[i_0_2843]) ).

cnf(i_0_5644,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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)),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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4497,i_0_5642,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017]) ).

cnf(i_0_5645,plain,
    hBOOL(hAPP(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_4497]) ).

cnf(i_0_5646,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
    inference(rename_variables,[],[i_0_3017]) ).

cnf(i_0_5647,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4497,i_0_5642,i_0_5645,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4151,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021]) ).

cnf(i_0_5648,plain,
    hBOOL(hAPP(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_4497]) ).

cnf(i_0_5649,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(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_3021]) ).

cnf(i_0_5650,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_4645,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4497,i_0_5642,i_0_5645,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4151,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209]) ).

cnf(i_0_5651,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_5652,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),
    inference(rename_variables,[],[i_0_4645]) ).

cnf(i_0_5653,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),esk64_3(X3,X2,X1)) ),
    inference(rename_variables,[],[i_0_3209]) ).

cnf(i_0_5654,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Osgn__class_Osgn(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_4645,i_0_5341,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332]) ).

cnf(i_0_5655,plain,
    hBOOL(hAPP(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_4497]) ).

cnf(i_0_5656,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3332]) ).

cnf(i_0_5657,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509]) ).

cnf(i_0_5658,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3)),X1)),
    inference(rename_variables,[],[i_0_4765]) ).

cnf(i_0_5659,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(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(rename_variables,[],[i_0_4967]) ).

cnf(i_0_5660,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)
    | X2 = hAPP(hAPP(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_3509]) ).

cnf(i_0_5661,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(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) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513]) ).

cnf(i_0_5662,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(rename_variables,[],[i_0_4598]) ).

cnf(i_0_5663,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X1 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3513]) ).

cnf(i_0_5664,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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))) != hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541]) ).

cnf(i_0_5665,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5666,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)
    | X1 != hAPP(hAPP(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_3541]) ).

cnf(i_0_5667,plain,
    esk9_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607]) ).

cnf(i_0_5668,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5669,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_3768]) ).

cnf(i_0_5670,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(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_3607]) ).

cnf(i_0_5671,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747]) ).

cnf(i_0_5672,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5673,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_3747]) ).

cnf(i_0_5674,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint))),hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint))))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262]) ).

cnf(i_0_5675,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5676,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895]) ).

cnf(i_0_5677,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4526]) ).

cnf(i_0_5678,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4623]) ).

cnf(i_0_5679,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X4)) ),
    inference(rename_variables,[],[i_0_2895]) ).

cnf(i_0_5680,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_3459,i_0_5594,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616]) ).

cnf(i_0_5681,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5682,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_3616]) ).

cnf(i_0_5683,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839]) ).

cnf(i_0_5684,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3)) ),
    inference(rename_variables,[],[i_0_2839]) ).

cnf(i_0_5685,plain,
    X1 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588]) ).

cnf(i_0_5686,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)
    | X2 = X4
    | ~ class_Groups_Ocancel__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_3588]) ).

cnf(i_0_5687,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(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_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840]) ).

cnf(i_0_5688,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5689,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_4715]) ).

cnf(i_0_5690,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
    inference(rename_variables,[],[i_0_2840]) ).

cnf(i_0_5691,plain,
    hAPP(hAPP(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,hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044]) ).

cnf(i_0_5692,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),
    inference(rename_variables,[],[i_0_4492]) ).

cnf(i_0_5693,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X2 ),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_5694,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171]) ).

cnf(i_0_5695,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3414]) ).

cnf(i_0_5696,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3171]) ).

cnf(i_0_5697,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827]) ).

cnf(i_0_5698,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5699,plain,
    ( hAPP(hAPP(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_3827]) ).

cnf(i_0_5700,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903]) ).

cnf(i_0_5701,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_2903]) ).

cnf(i_0_5702,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),X3))),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758]) ).

cnf(i_0_5703,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_2758]) ).

cnf(i_0_5704,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),
    inference(scs_inference,[],[i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190]) ).

cnf(i_0_5705,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
    | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)
    | hBOOL(hAPP(X1,X4)) ),
    inference(rename_variables,[],[i_0_3190]) ).

cnf(i_0_5706,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(hAPP(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_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302]) ).

cnf(i_0_5707,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4623]) ).

cnf(i_0_5708,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2)),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3302]) ).

cnf(i_0_5709,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321]) ).

cnf(i_0_5710,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Osgn__class_Osgn(X1,X2)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3321]) ).

cnf(i_0_5711,plain,
    c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655]) ).

cnf(i_0_5712,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Osgn__class_Osgn(X1,X2) != c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3655]) ).

cnf(i_0_5713,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543]) ).

cnf(i_0_5714,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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_4917]) ).

cnf(i_0_5715,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_2543]) ).

cnf(i_0_5716,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4,X1))),X2)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624]) ).

cnf(i_0_5717,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3)),X2)),
    inference(rename_variables,[],[i_0_4747]) ).

cnf(i_0_5718,plain,
    ( X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),c_Groups_Ominus__class_Ominus(X2,X3,X4)),X5)),X6)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X5)),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X5)),X6)
    | ~ class_Rings_Oring(X2) ),
    inference(rename_variables,[],[i_0_2624]) ).

cnf(i_0_5719,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),X3)),hAPP(c_COMBS(X4,X5,X6,c_Groups_Oplus__class_Oplus(tc_Int_Oint),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)),X3))) = hAPP(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)),X3)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640]) ).

cnf(i_0_5720,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3)),X4) = X6
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2640]) ).

cnf(i_0_5721,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)),X3)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641]) ).

cnf(i_0_5722,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3)),X6)
    | X4 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3)),X6)
    | ~ class_Rings_Oring(X1) ),
    inference(rename_variables,[],[i_0_2641]) ).

cnf(i_0_5723,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775]) ).

cnf(i_0_5724,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(rename_variables,[],[i_0_3459]) ).

cnf(i_0_5725,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))),
    inference(rename_variables,[],[i_0_3458]) ).

cnf(i_0_5726,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(rename_variables,[],[i_0_2775]) ).

cnf(i_0_5727,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794]) ).

cnf(i_0_5728,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5729,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2794]) ).

cnf(i_0_5730,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_5354,i_0_4664,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795]) ).

cnf(i_0_5731,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),X1)),
    inference(rename_variables,[],[i_0_4532]) ).

cnf(i_0_5732,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
    inference(rename_variables,[],[i_0_2795]) ).

cnf(i_0_5733,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,hAPP(hAPP(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),X3))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810]) ).

cnf(i_0_5734,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_4753]) ).

cnf(i_0_5735,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2810]) ).

cnf(i_0_5736,plain,
    X1 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892]) ).

cnf(i_0_5737,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3696]) ).

cnf(i_0_5738,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5739,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | X3 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) ),
    inference(rename_variables,[],[i_0_2892]) ).

cnf(i_0_5740,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(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))) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(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))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942]) ).

cnf(i_0_5741,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5742,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,hAPP(hAPP(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_2942]) ).

cnf(i_0_5743,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_5734,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954]) ).

cnf(i_0_5744,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_4753]) ).

cnf(i_0_5745,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2954]) ).

cnf(i_0_5746,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955]) ).

cnf(i_0_5747,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_4753]) ).

cnf(i_0_5748,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2955]) ).

cnf(i_0_5749,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956]) ).

cnf(i_0_5750,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_5751,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_5752,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1))),esk65_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000]) ).

cnf(i_0_5753,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5754,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | ~ hBOOL(hAPP(X3,esk65_3(X2,X1,X3))) ),
    inference(rename_variables,[],[i_0_3000]) ).

cnf(i_0_5755,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1))),esk64_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001]) ).

cnf(i_0_5756,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5757,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | ~ hBOOL(hAPP(X3,esk64_3(X2,X1,X3))) ),
    inference(rename_variables,[],[i_0_3001]) ).

cnf(i_0_5758,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007]) ).

cnf(i_0_5759,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))) ),
    inference(rename_variables,[],[i_0_3007]) ).

cnf(i_0_5760,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008]) ).

cnf(i_0_5761,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
    inference(rename_variables,[],[i_0_3008]) ).

cnf(i_0_5762,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012]) ).

cnf(i_0_5763,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4529]) ).

cnf(i_0_5764,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))) ),
    inference(rename_variables,[],[i_0_3012]) ).

cnf(i_0_5765,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(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(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013]) ).

cnf(i_0_5766,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(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(rename_variables,[],[i_0_4358]) ).

cnf(i_0_5767,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
    inference(rename_variables,[],[i_0_3013]) ).

cnf(i_0_5768,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024]) ).

cnf(i_0_5769,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(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(rename_variables,[],[i_0_3024]) ).

cnf(i_0_5770,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)))),c_Groups_Oone__class_Oone(tc_Int_Oint))),esk69_3(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047]) ).

cnf(i_0_5771,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4526]) ).

cnf(i_0_5772,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5773,plain,
    ( hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | ~ hBOOL(hAPP(X1,esk69_3(X3,X2,X1)))
    | X3 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3047]) ).

cnf(i_0_5774,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),esk71_3(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),X1,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060]) ).

cnf(i_0_5775,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_5776,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5777,plain,
    ( ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | hBOOL(hAPP(X1,esk71_3(X3,X2,X1)))
    | X3 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3060]) ).

cnf(i_0_5778,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070]) ).

cnf(i_0_5779,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_2819]) ).

cnf(i_0_5780,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5781,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk45_2(X2,X1)),X2))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3070]) ).

cnf(i_0_5782,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(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(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095]) ).

cnf(i_0_5783,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))) ),
    inference(rename_variables,[],[i_0_3095]) ).

cnf(i_0_5784,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096]) ).

cnf(i_0_5785,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))) ),
    inference(rename_variables,[],[i_0_3096]) ).

cnf(i_0_5786,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102]) ).

cnf(i_0_5787,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4623]) ).

cnf(i_0_5788,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
    inference(rename_variables,[],[i_0_3102]) ).

cnf(i_0_5789,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RComplete_Onatfloor(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RComplete_Onatfloor(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103]) ).

cnf(i_0_5790,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | 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) ),
    inference(rename_variables,[],[i_0_3103]) ).

cnf(i_0_5791,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138]) ).

cnf(i_0_5792,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5793,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X3))
    | ~ hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))) ),
    inference(rename_variables,[],[i_0_3138]) ).

cnf(i_0_5794,plain,
    c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(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_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191]) ).

cnf(i_0_5795,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_5796,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5797,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X2) ),
    inference(rename_variables,[],[i_0_3191]) ).

cnf(i_0_5798,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk65_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196]) ).

cnf(i_0_5799,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5800,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk65_3(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_3196]) ).

cnf(i_0_5801,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk64_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197]) ).

cnf(i_0_5802,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5803,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
    | X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),esk64_3(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_3197]) ).

cnf(i_0_5804,plain,
    hBOOL(hAPP(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)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208]) ).

cnf(i_0_5805,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_5806,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),
    inference(rename_variables,[],[i_0_4645]) ).

cnf(i_0_5807,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),esk65_3(X3,X2,X1)) ),
    inference(rename_variables,[],[i_0_3208]) ).

cnf(i_0_5808,plain,
    c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),esk12_0),esk12_0)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(esk12_0),c_Transcendental_Oln(esk12_0)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217]) ).

cnf(i_0_5809,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X1),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X2)) ),
    inference(rename_variables,[],[i_0_3217]) ).

cnf(i_0_5810,plain,
    c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk12_0),esk12_0)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(esk12_0)),c_Transcendental_Oln(esk12_0)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222]) ).

cnf(i_0_5811,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2))
    | c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X1)),c_Transcendental_Oln(X2)) ),
    inference(rename_variables,[],[i_0_3222]) ).

cnf(i_0_5812,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237]) ).

cnf(i_0_5813,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(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_3237]) ).

cnf(i_0_5814,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Complex_OIm,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246]) ).

cnf(i_0_5815,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5816,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5817,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | X3 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3246]) ).

cnf(i_0_5818,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273]) ).

cnf(i_0_5819,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),X2) = c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3273]) ).

cnf(i_0_5820,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk57_2(esk12_0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = esk12_0,
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306]) ).

cnf(i_0_5821,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5822,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk57_2(X1,X2)),X2) = X1 ),
    inference(rename_variables,[],[i_0_3306]) ).

cnf(i_0_5823,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk56_2(esk12_0,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = esk12_0,
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307]) ).

cnf(i_0_5824,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5825,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk56_2(X1,X2)),X2) = X1 ),
    inference(rename_variables,[],[i_0_3307]) ).

cnf(i_0_5826,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk4_0)),hAPP(hAPP(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)),hAPP(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk4_0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329]) ).

cnf(i_0_5827,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X3,X1)),hAPP(X3,X2)))
    | ~ c_SEQ_Osubseq(X3) ),
    inference(rename_variables,[],[i_0_3329]) ).

cnf(i_0_5828,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Complex_OIm,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394]) ).

cnf(i_0_5829,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_5830,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5831,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)))
    | X3 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(rename_variables,[],[i_0_3394]) ).

cnf(i_0_5832,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X2))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446]) ).

cnf(i_0_5833,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3446]) ).

cnf(i_0_5834,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),X1)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451]) ).

cnf(i_0_5835,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3451]) ).

cnf(i_0_5836,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476]) ).

cnf(i_0_5837,plain,
    X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_4722]) ).

cnf(i_0_5838,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) = X3 ),
    inference(rename_variables,[],[i_0_3476]) ).

cnf(i_0_5839,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(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(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480]) ).

cnf(i_0_5840,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(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(rename_variables,[],[i_0_4855]) ).

cnf(i_0_5841,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3480]) ).

cnf(i_0_5842,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514]) ).

cnf(i_0_5843,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5844,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3514]) ).

cnf(i_0_5845,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534]) ).

cnf(i_0_5846,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3))))),
    inference(rename_variables,[],[i_0_4901]) ).

cnf(i_0_5847,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3534]) ).

cnf(i_0_5848,plain,
    c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,esk12_0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557]) ).

cnf(i_0_5849,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Osgn__class_Osgn(X1,X2) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3557]) ).

cnf(i_0_5850,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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))) = hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4184,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561]) ).

cnf(i_0_5851,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3561]) ).

cnf(i_0_5852,plain,
    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_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4184,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562]) ).

cnf(i_0_5853,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | c_Groups_Oabs__class_Oabs(X1,X2) = X2
    | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(rename_variables,[],[i_0_3562]) ).

cnf(i_0_5854,plain,
    c_Complex_Ocomplex_Ocomplex__case(X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Complex_Ocomplex_OComplex(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_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4184,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574]) ).

cnf(i_0_5855,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Complex_Ocomplex_Ocomplex__case(X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Complex_Ocomplex_OComplex(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2,
    inference(rename_variables,[],[i_0_4949]) ).

cnf(i_0_5856,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_3832]) ).

cnf(i_0_5857,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_3574]) ).

cnf(i_0_5858,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Complex_OIm,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4151,i_0_3768,i_0_4184,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674]) ).

cnf(i_0_5859,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_5860,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5861,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | ~ epred1_3(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_3674]) ).

cnf(i_0_5862,plain,
    esk9_2(X1,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720]) ).

cnf(i_0_5863,plain,
    ( X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
    | X3 = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
    inference(rename_variables,[],[i_0_3720]) ).

cnf(i_0_5864,plain,
    c_Complex_Ocomplex_OComplex(c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892]) ).

cnf(i_0_5865,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5866,plain,
    ( X1 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
    | X2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3892]) ).

cnf(i_0_5867,plain,
    c_Complex_Ocomplex_OComplex(c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893]) ).

cnf(i_0_5868,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(rename_variables,[],[i_0_3893]) ).

cnf(i_0_5869,plain,
    X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))),X1),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725]) ).

cnf(i_0_5870,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | X3 != X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3725]) ).

cnf(i_0_5871,plain,
    ~ class_Rings_Olinordered__idom(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630]) ).

cnf(i_0_5872,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5873,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3673]) ).

cnf(i_0_5874,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))),X4))
    | hBOOL(hAPP(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_2630]) ).

cnf(i_0_5875,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646]) ).

cnf(i_0_5876,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),
    inference(rename_variables,[],[i_0_3735]) ).

cnf(i_0_5877,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)
    | X3 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X1)),X2)),X5)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X4)) ),
    inference(rename_variables,[],[i_0_2646]) ).

cnf(i_0_5878,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953]) ).

cnf(i_0_5879,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_4753]) ).

cnf(i_0_5880,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
    inference(rename_variables,[],[i_0_2953]) ).

cnf(i_0_5881,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint))),esk65_3(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015]) ).

cnf(i_0_5882,plain,
    hBOOL(hAPP(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_4497]) ).

cnf(i_0_5883,plain,
    ( ~ hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
    | ~ hBOOL(hAPP(X1,esk65_3(X3,X2,X1))) ),
    inference(rename_variables,[],[i_0_3015]) ).

cnf(i_0_5884,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025]) ).

cnf(i_0_5885,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(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(rename_variables,[],[i_0_3025]) ).

cnf(i_0_5886,plain,
    c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)))) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199]) ).

cnf(i_0_5887,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1))),X1)),
    inference(rename_variables,[],[i_0_5303]) ).

cnf(i_0_5888,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X2))
    | X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
    inference(rename_variables,[],[i_0_3199]) ).

cnf(i_0_5889,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(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))),X2)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224]) ).

cnf(i_0_5890,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),
    inference(rename_variables,[],[i_0_4492]) ).

cnf(i_0_5891,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))) ),
    inference(rename_variables,[],[i_0_3224]) ).

cnf(i_0_5892,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) != X1,
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659]) ).

cnf(i_0_5893,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X3 != X2
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3659]) ).

cnf(i_0_5894,plain,
    c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877]) ).

cnf(i_0_5895,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Osgn__class_Osgn(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Olinordered__idom(X2) ),
    inference(rename_variables,[],[i_0_3877]) ).

cnf(i_0_5896,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878]) ).

cnf(i_0_5897,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_3878]) ).

cnf(i_0_5898,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645]) ).

cnf(i_0_5899,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),
    inference(rename_variables,[],[i_0_3735]) ).

cnf(i_0_5900,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2)),X5)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X4)),X2)),X3) = X5
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X1)) ),
    inference(rename_variables,[],[i_0_2645]) ).

cnf(i_0_5901,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(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_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023]) ).

cnf(i_0_5902,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_3023]) ).

cnf(i_0_5903,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X2)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347]) ).

cnf(i_0_5904,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3),X4))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X4) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2) ),
    inference(rename_variables,[],[i_0_3347]) ).

cnf(i_0_5905,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353]) ).

cnf(i_0_5906,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Osgn__class_Osgn(X1,X2)))
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(rename_variables,[],[i_0_3353]) ).

cnf(i_0_5907,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,X1,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537]) ).

cnf(i_0_5908,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_5909,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3537]) ).

cnf(i_0_5910,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,X3))),X2),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589]) ).

cnf(i_0_5911,plain,
    ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)
    | X3 = X4
    | ~ class_Groups_Ocancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_3589]) ).

cnf(i_0_5912,plain,
    X1 != c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661]) ).

cnf(i_0_5913,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3661]) ).

cnf(i_0_5914,plain,
    c_Groups_Osgn__class_Osgn(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Groups_Ozero__class_Ozero(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Complex_OIm,c_Groups_Ozero__class_Ozero(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))) = c_Groups_Ozero__class_Ozero(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876]) ).

cnf(i_0_5915,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_5916,plain,
    ( X1 != c_Groups_Ozero__class_Ozero(X2)
    | c_Groups_Osgn__class_Osgn(X2,X1) = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(rename_variables,[],[i_0_3876]) ).

cnf(i_0_5917,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377]) ).

cnf(i_0_5918,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),X2)),X2)),
    inference(rename_variables,[],[i_0_5106]) ).

cnf(i_0_5919,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1)) ),
    inference(rename_variables,[],[i_0_3377]) ).

cnf(i_0_5920,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk12_0)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516]) ).

cnf(i_0_5921,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3516]) ).

cnf(i_0_5922,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3)),X2)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539]) ).

cnf(i_0_5923,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)),X5)),X6))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6)))
    | ~ class_Rings_Oordered__ring(X1) ),
    inference(rename_variables,[],[i_0_2539]) ).

cnf(i_0_5924,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),X1)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898]) ).

cnf(i_0_5925,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)),
    inference(rename_variables,[],[i_0_4541]) ).

cnf(i_0_5926,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_4715]) ).

cnf(i_0_5927,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X4)) ),
    inference(rename_variables,[],[i_0_2898]) ).

cnf(i_0_5928,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376]) ).

cnf(i_0_5929,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_5930,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X1)) ),
    inference(rename_variables,[],[i_0_3376]) ).

cnf(i_0_5931,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),X1)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442]) ).

cnf(i_0_5932,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3442]) ).

cnf(i_0_5933,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_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618]) ).

cnf(i_0_5934,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(rename_variables,[],[i_0_3673]) ).

cnf(i_0_5935,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3618]) ).

cnf(i_0_5936,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != esk12_0,
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662]) ).

cnf(i_0_5937,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3662]) ).

cnf(i_0_5938,plain,
    esk12_0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663]) ).

cnf(i_0_5939,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | X3 != X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3663]) ).

cnf(i_0_5940,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904]) ).

cnf(i_0_5941,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2904]) ).

cnf(i_0_5942,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk57_2(hAPP(hAPP(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)),hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235]) ).

cnf(i_0_5943,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5944,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk57_2(X1,X2))) ),
    inference(rename_variables,[],[i_0_3235]) ).

cnf(i_0_5945,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk56_2(hAPP(hAPP(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)),hAPP(hAPP(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_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236]) ).

cnf(i_0_5946,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_5947,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk56_2(X1,X2))) ),
    inference(rename_variables,[],[i_0_3236]) ).

cnf(i_0_5948,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_Nat_Onat),X2),X2)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547]) ).

cnf(i_0_5949,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
    inference(rename_variables,[],[i_0_3773]) ).

cnf(i_0_5950,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk2_4(X3,X2,X4,X1))),hAPP(X3,esk2_4(X3,X2,X4,X1))))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X1),X2),X3))
    | ~ class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2547]) ).

cnf(i_0_5951,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk12_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443]) ).

cnf(i_0_5952,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3443]) ).

cnf(i_0_5953,plain,
    hBOOL(hAPP(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_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752]) ).

cnf(i_0_5954,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(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(rename_variables,[],[i_0_5299]) ).

cnf(i_0_5955,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(rename_variables,[],[i_0_2752]) ).

cnf(i_0_5956,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2)) != X2,
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726]) ).

cnf(i_0_5957,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X1)
    | X2 != X3 ),
    inference(rename_variables,[],[i_0_3726]) ).

cnf(i_0_5958,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X4))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542]) ).

cnf(i_0_5959,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2)),
    inference(rename_variables,[],[i_0_3010]) ).

cnf(i_0_5960,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)),X4)),X5))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_2542]) ).

cnf(i_0_5961,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk13_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450]) ).

cnf(i_0_5962,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3450]) ).

cnf(i_0_5963,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481]) ).

cnf(i_0_5964,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1))),
    inference(rename_variables,[],[i_0_3457]) ).

cnf(i_0_5965,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_3481]) ).

cnf(i_0_5966,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk13_0)),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518]) ).

cnf(i_0_5967,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3518]) ).

cnf(i_0_5968,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) != c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X2))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727]) ).

cnf(i_0_5969,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3727]) ).

cnf(i_0_5970,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375]) ).

cnf(i_0_5971,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_5972,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4529]) ).

cnf(i_0_5973,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X1)) ),
    inference(rename_variables,[],[i_0_3375]) ).

cnf(i_0_5974,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))),X1))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596]) ).

cnf(i_0_5975,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3596]) ).

cnf(i_0_5976,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598]) ).

cnf(i_0_5977,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3598]) ).

cnf(i_0_5978,plain,
    hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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))) != hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246]) ).

cnf(i_0_5979,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_RealDef_Oreal(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196]) ).

cnf(i_0_5980,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_5981,plain,
    class_Rings_Olinordered__ring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249]) ).

cnf(i_0_5982,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5983,plain,
    class_Rings_Olinordered__semidom(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253]) ).

cnf(i_0_5984,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5985,plain,
    class_Rings_Olinordered__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4049,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266]) ).

cnf(i_0_5986,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5987,plain,
    class_Rings_Olinordered__semiring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267]) ).

cnf(i_0_5988,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5989,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271]) ).

cnf(i_0_5990,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5991,plain,
    class_RealVector_Ometric__space(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311]) ).

cnf(i_0_5992,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5993,plain,
    class_Rings_Omult__zero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4091,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312]) ).

cnf(i_0_5994,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5995,plain,
    class_Rings_Ono__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4091,i_0_4098,i_0_4128,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313]) ).

cnf(i_0_5996,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5997,plain,
    class_Rings_Ozero__neq__one(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4091,i_0_4098,i_0_4128,i_0_4139,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314]) ).

cnf(i_0_5998,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_5999,plain,
    class_Rings_Oring__no__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315]) ).

cnf(i_0_6000,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6001,plain,
    class_Rings_Oring__1__no__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk9_2(tc_Complex_Ocomplex,tc_Complex_Ocomplex))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4040,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316]) ).

cnf(i_0_6002,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6003,plain,
    class_Groups_Omonoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4040,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317]) ).

cnf(i_0_6004,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6005,plain,
    class_RealVector_Oreal__normed__algebra(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4040,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318]) ).

cnf(i_0_6006,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6007,plain,
    class_Groups_Ocomm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4040,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319]) ).

cnf(i_0_6008,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6009,plain,
    class_Rings_Odivision__ring__inverse__zero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4040,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4174,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320]) ).

cnf(i_0_6010,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6011,plain,
    class_Groups_Ozero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4040,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321]) ).

cnf(i_0_6012,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6013,plain,
    class_Groups_Osgn__if(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322]) ).

cnf(i_0_6014,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6015,plain,
    class_Rings_Ocomm__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk9_2(tc_Complex_Ocomplex,tc_Complex_Ocomplex))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_3985,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323]) ).

cnf(i_0_6016,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6017,plain,
    class_Rings_Ocomm__semiring__0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_3985,i_0_3988,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324]) ).

cnf(i_0_6018,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6019,plain,
    class_Groups_Ocancel__comm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325]) ).

cnf(i_0_6020,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6021,plain,
    class_Rings_Oidom(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk9_2(tc_Complex_Ocomplex,tc_Complex_Ocomplex))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326]) ).

cnf(i_0_6022,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6023,plain,
    class_Groups_Oone(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327]) ).

cnf(i_0_6024,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6025,plain,
    class_Groups_Oordered__ab__group__add__abs(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330]) ).

cnf(i_0_6026,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6027,plain,
    class_RealVector_Oreal__normed__field(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5055,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247]) ).

cnf(i_0_6028,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6029,plain,
    class_RealVector_Oreal__field(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248]) ).

cnf(i_0_6030,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6031,plain,
    class_Rings_Olinordered__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4058,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250]) ).

cnf(i_0_6032,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6033,plain,
    class_Rings_Olinordered__semiring__1__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4058,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251]) ).

cnf(i_0_6034,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6035,plain,
    class_Rings_Olinordered__semiring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252]) ).

cnf(i_0_6036,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6037,plain,
    class_Orderings_Oorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_HOL_Obool)),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254]) ).

cnf(i_0_6038,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),
    inference(rename_variables,[],[i_0_3735]) ).

cnf(i_0_6039,plain,
    class_Rings_Ocomm__ring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk9_2(tc_Complex_Ocomplex,tc_Complex_Ocomplex))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255]) ).

cnf(i_0_6040,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6041,plain,
    class_RealVector_Oreal__normed__vector(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257]) ).

cnf(i_0_6042,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6043,plain,
    class_Rings_Oring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk9_2(tc_Complex_Ocomplex,tc_Complex_Ocomplex))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258]) ).

cnf(i_0_6044,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6045,plain,
    class_Rings_Osemiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259]) ).

cnf(i_0_6046,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6047,plain,
    ~ epred1_3(c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),hAPP(c_Complex_OIm,c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260]) ).

cnf(i_0_6048,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_6049,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261]) ).

cnf(i_0_6050,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_6051,plain,
    class_Fields_Olinordered__field(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_3998,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263]) ).

cnf(i_0_6052,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6053,plain,
    class_Fields_Olinordered__field__inverse__zero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264]) ).

cnf(i_0_6054,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6055,plain,
    class_RealVector_Oreal__normed__algebra__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265]) ).

cnf(i_0_6056,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6057,plain,
    class_Rings_Oordered__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4065,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268]) ).

cnf(i_0_6058,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6059,plain,
    c_SEQ_Osubseq(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),v_ga____),esk9_2(v_ga____,v_ga____))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4065,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269]) ).

cnf(i_0_6060,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6061,plain,
    class_Orderings_Oord(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_HOL_Obool)),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4065,i_0_4073,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270]) ).

cnf(i_0_6062,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),
    inference(rename_variables,[],[i_0_3735]) ).

cnf(i_0_6063,plain,
    class_Groups_Omonoid__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4065,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272]) ).

cnf(i_0_6064,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6065,plain,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk9_2(tc_Complex_Ocomplex,tc_Complex_Ocomplex))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4058,i_0_4065,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273]) ).

cnf(i_0_6066,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6067,plain,
    class_Rings_Olinordered__comm__semiring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4065,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274]) ).

cnf(i_0_6068,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6069,plain,
    class_Rings_Oordered__comm__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275]) ).

cnf(i_0_6070,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6071,plain,
    class_Groups_Oordered__cancel__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4128,i_0_4139,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276]) ).

cnf(i_0_6072,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6073,plain,
    class_Groups_Oordered__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277]) ).

cnf(i_0_6074,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6075,plain,
    class_Rings_Ocomm__semiring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278]) ).

cnf(i_0_6076,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6077,plain,
    class_Groups_Olinordered__ab__group__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Int_Oint),esk9_2(tc_Int_Oint,tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280]) ).

cnf(i_0_6078,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6079,plain,
    class_Rings_Oordered__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281]) ).

cnf(i_0_6080,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6081,plain,
    ~ c_SEQ_Odecseq(c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,tc_Nat_Onat),hAPP(c_Complex_OIm,tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284]) ).

cnf(i_0_6082,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_6083,plain,
    ~ c_SEQ_Odecseq(tc_Nat_Onat,c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Complex_OIm,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285]) ).

cnf(i_0_6084,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_6085,plain,
    class_Rings_Oordered__cancel__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Int_Oint),esk9_2(tc_Int_Oint,tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286]) ).

cnf(i_0_6086,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6087,plain,
    class_Groups_Oordered__comm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287]) ).

cnf(i_0_6088,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6089,plain,
    class_Fields_Ofield(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288]) ).

cnf(i_0_6090,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6091,plain,
    class_Rings_Odivision__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290]) ).

cnf(i_0_6092,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6093,plain,
    class_Fields_Ofield__inverse__zero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291]) ).

cnf(i_0_6094,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6095,plain,
    class_Groups_Ocomm__monoid__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292]) ).

cnf(i_0_6096,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6097,plain,
    class_Rings_Ocomm__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293]) ).

cnf(i_0_6098,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6099,plain,
    class_Rings_Oordered__ring__abs(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk9_2(tc_RealDef_Oreal,tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296]) ).

cnf(i_0_6100,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6101,plain,
    class_Rings_Oring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk9_2(tc_Complex_Ocomplex,tc_Complex_Ocomplex))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4018,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297]) ).

cnf(i_0_6102,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6103,plain,
    class_Divides_Osemiring__div(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298]) ).

cnf(i_0_6104,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6105,plain,
    class_Power_Opower(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299]) ).

cnf(i_0_6106,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6107,plain,
    class_Groups_Oab__semigroup__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300]) ).

cnf(i_0_6108,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6109,plain,
    class_Groups_Oab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301]) ).

cnf(i_0_6110,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6111,plain,
    class_Orderings_Opreorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),tc_HOL_Obool)),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302]) ).

cnf(i_0_6112,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),
    inference(rename_variables,[],[i_0_3735]) ).

cnf(i_0_6113,plain,
    class_Orderings_Olinorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304]) ).

cnf(i_0_6114,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6115,plain,
    class_RealVector_Oreal__normed__div__algebra(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk9_2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305]) ).

cnf(i_0_6116,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6117,plain,
    class_Rings_Osemiring__0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308]) ).

cnf(i_0_6118,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6119,plain,
    class_Groups_Ocancel__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309]) ).

cnf(i_0_6120,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6121,plain,
    class_Groups_Ocancel__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk9_2(tc_Nat_Onat,tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310]) ).

cnf(i_0_6122,plain,
    X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk9_2(X1,X1)),
    inference(rename_variables,[],[i_0_4627]) ).

cnf(i_0_6123,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931]) ).

cnf(i_0_6124,plain,
    hBOOL(hAPP(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_4497]) ).

cnf(i_0_6125,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_6126,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(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_2931]) ).

cnf(i_0_6127,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479]) ).

cnf(i_0_6128,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_6129,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X2),X1))
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3479]) ).

cnf(i_0_6130,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064]) ).

cnf(i_0_6131,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2))),
    inference(rename_variables,[],[i_0_5307]) ).

cnf(i_0_6132,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(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_4753]) ).

cnf(i_0_6133,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_3064]) ).

cnf(i_0_6134,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082]) ).

cnf(i_0_6135,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4529]) ).

cnf(i_0_6136,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3082]) ).

cnf(i_0_6137,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691]) ).

cnf(i_0_6138,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(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)))),
    inference(rename_variables,[],[i_0_4770]) ).

cnf(i_0_6139,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(rename_variables,[],[i_0_3459]) ).

cnf(i_0_6140,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_4715]) ).

cnf(i_0_6141,plain,
    ( ~ hBOOL(hAPP(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)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
    inference(rename_variables,[],[i_0_2691]) ).

cnf(i_0_6142,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),X2)),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838]) ).

cnf(i_0_6143,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),
    inference(rename_variables,[],[i_0_4544]) ).

cnf(i_0_6144,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_4715]) ).

cnf(i_0_6145,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X5))
    | ~ class_Groups_Oordered__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2838]) ).

cnf(i_0_6146,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),hAPP(hAPP(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586]) ).

cnf(i_0_6147,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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))),hAPP(hAPP(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(rename_variables,[],[i_0_5132]) ).

cnf(i_0_6148,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | ~ class_Rings_Olinordered__idom(X1)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_3586]) ).

cnf(i_0_6149,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))) != c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276]) ).

cnf(i_0_6150,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | c_Groups_Ominus__class_Ominus(X1,X4,X5) != c_Groups_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3276]) ).

cnf(i_0_6151,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1),X1) != c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X2)),X3),c_Groups_Oone__class_Oone(tc_Int_Oint)),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277]) ).

cnf(i_0_6152,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X5))
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3277]) ).

cnf(i_0_6153,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1),X2) != c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278]) ).

cnf(i_0_6154,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | c_Groups_Ominus__class_Ominus(X1,X4,X5) != c_Groups_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3278]) ).

cnf(i_0_6155,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) != c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1),X2),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279]) ).

cnf(i_0_6156,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X5))
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_3279]) ).

cnf(i_0_6157,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340]) ).

cnf(i_0_6158,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_6159,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3340]) ).

cnf(i_0_6160,plain,
    ~ hBOOL(hAPP(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620]) ).

cnf(i_0_6161,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_3298]) ).

cnf(i_0_6162,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
    inference(rename_variables,[],[i_0_4417]) ).

cnf(i_0_6163,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))),X4))
    | ~ hBOOL(hAPP(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_2620]) ).

cnf(i_0_6164,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(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(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774]) ).

cnf(i_0_6165,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference(rename_variables,[],[i_0_4623]) ).

cnf(i_0_6166,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3)) ),
    inference(rename_variables,[],[i_0_2774]) ).

cnf(i_0_6167,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(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),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))),X1)),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_4851,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835]) ).

cnf(i_0_6168,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4526]) ).

cnf(i_0_6169,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(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(rename_variables,[],[i_0_5299]) ).

cnf(i_0_6170,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2835]) ).

cnf(i_0_6171,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),esk73_3(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),esk74_3(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859]) ).

cnf(i_0_6172,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | X2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk73_3(X2,X1,X3))),esk74_3(X2,X1,X3))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_2859]) ).

cnf(i_0_6173,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(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)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083]) ).

cnf(i_0_6174,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(rename_variables,[],[i_0_3083]) ).

cnf(i_0_6175,plain,
    epred1_3(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143]) ).

cnf(i_0_6176,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4526]) ).

cnf(i_0_6177,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_6178,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(rename_variables,[],[i_0_4598]) ).

cnf(i_0_6179,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(X2,esk73_3(X3,X1,X2)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_3143]) ).

cnf(i_0_6180,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X1,hAPP(hAPP(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_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(hAPP(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211]) ).

cnf(i_0_6181,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)),
    inference(rename_variables,[],[i_0_4526]) ).

cnf(i_0_6182,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(rename_variables,[],[i_0_4598]) ).

cnf(i_0_6183,plain,
    ~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),X2,X1),
    inference(rename_variables,[],[i_0_4570]) ).

cnf(i_0_6184,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X2,X1,X3)))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | epred1_3(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_3211]) ).

cnf(i_0_6185,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260]) ).

cnf(i_0_6186,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_6187,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_4715]) ).

cnf(i_0_6188,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X1,
    inference(rename_variables,[],[i_0_4654]) ).

cnf(i_0_6189,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_3260]) ).

cnf(i_0_6190,plain,
    ~ c_SEQ_Odecseq(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292]) ).

cnf(i_0_6191,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_4715]) ).

cnf(i_0_6192,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2)),
    inference(rename_variables,[],[i_0_4789]) ).

cnf(i_0_6193,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,hAPP(X4,X2)),hAPP(X4,X1)))
    | ~ c_SEQ_Odecseq(X3,X4)
    | ~ class_Orderings_Oorder(X3) ),
    inference(rename_variables,[],[i_0_3292]) ).

cnf(i_0_6194,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,esk23_2(hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),X1))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352]) ).

cnf(i_0_6195,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_6196,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_6197,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),hAPP(hAPP(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(rename_variables,[],[i_0_5299]) ).

cnf(i_0_6198,plain,
    ( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),esk23_2(X3,X1)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,X3)) ),
    inference(rename_variables,[],[i_0_3352]) ).

cnf(i_0_6199,plain,
    epred1_3(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X2),X3),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411]) ).

cnf(i_0_6200,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1))),
    inference(rename_variables,[],[i_0_5352]) ).

cnf(i_0_6201,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_6202,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | epred1_3(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_3411]) ).

cnf(i_0_6203,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,hAPP(hAPP(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)))),c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Int_Oint)))) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533]) ).

cnf(i_0_6204,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,hAPP(hAPP(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(rename_variables,[],[i_0_4915]) ).

cnf(i_0_6205,plain,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(rename_variables,[],[i_0_3825]) ).

cnf(i_0_6206,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
    | X2 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3533]) ).

cnf(i_0_6207,plain,
    c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640]) ).

cnf(i_0_6208,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
    inference(rename_variables,[],[i_0_3848]) ).

cnf(i_0_6209,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != X2,
    inference(rename_variables,[],[i_0_4724]) ).

cnf(i_0_6210,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) != X4
    | X2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(rename_variables,[],[i_0_3640]) ).

cnf(i_0_6211,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335]) ).

cnf(i_0_6212,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_6213,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X4),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3335]) ).

cnf(i_0_6214,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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)))),hAPP(hAPP(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_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915]) ).

cnf(i_0_6215,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),c_Groups_Ozero__class_Ozero(X1)))
    | ~ class_Rings_Olinordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_2915]) ).

cnf(i_0_6216,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(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))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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))))),
    inference(scs_inference,[],[i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098]) ).

cnf(i_0_6217,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(rename_variables,[],[i_0_3098]) ).

cnf(i_0_6218,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346]) ).

cnf(i_0_6219,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(rename_variables,[],[i_0_3437]) ).

cnf(i_0_6220,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1)),X2))
    | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)
    | ~ class_Rings_Olinordered__semidom(X1)
    | X3 = X4 ),
    inference(rename_variables,[],[i_0_3346]) ).

cnf(i_0_6221,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472]) ).

cnf(i_0_6222,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint)) != X1,
    inference(rename_variables,[],[i_0_4598]) ).

cnf(i_0_6223,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
    | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(rename_variables,[],[i_0_3472]) ).

cnf(i_0_6224,plain,
    hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))))) = c_RealDef_Oreal(tc_Nat_Onat,X1),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637]) ).

cnf(i_0_6225,plain,
    c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2)),
    inference(rename_variables,[],[i_0_3519]) ).

cnf(i_0_6226,plain,
    ( X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X4)
    | hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),X1),X4) = X3
    | X4 = c_Groups_Ozero__class_Ozero(X2)
    | ~ class_Rings_Odivision__ring(X2) ),
    inference(rename_variables,[],[i_0_3637]) ).

cnf(i_0_6227,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078]) ).

cnf(i_0_6228,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3078]) ).

cnf(i_0_6229,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916]) ).

cnf(i_0_6230,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_2916]) ).

cnf(i_0_6231,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920]) ).

cnf(i_0_6232,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(rename_variables,[],[i_0_3459]) ).

cnf(i_0_6233,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_6234,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_2920]) ).

cnf(i_0_6235,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(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)))),hAPP(hAPP(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)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099]) ).

cnf(i_0_6236,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(rename_variables,[],[i_0_3099]) ).

cnf(i_0_6237,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338]) ).

cnf(i_0_6238,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(rename_variables,[],[i_0_4699]) ).

cnf(i_0_6239,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3338]) ).

cnf(i_0_6240,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507]) ).

cnf(i_0_6241,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(rename_variables,[],[i_0_5324]) ).

cnf(i_0_6242,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_3507]) ).

cnf(i_0_6243,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)),X1)),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836]) ).

cnf(i_0_6244,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_6245,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2836]) ).

cnf(i_0_6246,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932]) ).

cnf(i_0_6247,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_6248,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_2932]) ).

cnf(i_0_6249,plain,
    c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104]) ).

cnf(i_0_6250,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,X2))
    | ~ class_Rings_Oordered__ring__abs(X1) ),
    inference(rename_variables,[],[i_0_3104]) ).

cnf(i_0_6251,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(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)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921]) ).

cnf(i_0_6252,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(rename_variables,[],[i_0_3459]) ).

cnf(i_0_6253,plain,
    hBOOL(hAPP(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_3177]) ).

cnf(i_0_6254,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),c_Groups_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(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_2921]) ).

cnf(i_0_6255,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337]) ).

cnf(i_0_6256,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
    inference(rename_variables,[],[i_0_4699]) ).

cnf(i_0_6257,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3337]) ).

cnf(i_0_6258,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339]) ).

cnf(i_0_6259,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3339]) ).

cnf(i_0_6260,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576]) ).

cnf(i_0_6261,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3576]) ).

cnf(i_0_6262,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)),X2))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334]) ).

cnf(i_0_6263,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)),X1)),
    inference(rename_variables,[],[i_0_5102]) ).

cnf(i_0_6264,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3334]) ).

cnf(i_0_6265,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336]) ).

cnf(i_0_6266,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),X2)),X2)),
    inference(rename_variables,[],[i_0_5109]) ).

cnf(i_0_6267,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3336]) ).

cnf(i_0_6268,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395]) ).

cnf(i_0_6269,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_6270,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(rename_variables,[],[i_0_3395]) ).

cnf(i_0_6271,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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1),X2),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441]) ).

cnf(i_0_6272,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
    inference(rename_variables,[],[i_0_3739]) ).

cnf(i_0_6273,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
    | ~ class_Orderings_Oorder(X1)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_3441]) ).

cnf(i_0_6274,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585]) ).

cnf(i_0_6275,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1))),
    inference(rename_variables,[],[i_0_5352]) ).

cnf(i_0_6276,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X3),X2))
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_3585]) ).

cnf(i_0_6277,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)),X2)),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837]) ).

cnf(i_0_6278,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2)),
    inference(rename_variables,[],[i_0_3010]) ).

cnf(i_0_6279,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X5))
    | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_6280,plain,
    c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4500,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_4120,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837,i_0_3504]) ).

cnf(i_0_6281,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(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_4500]) ).

cnf(i_0_6282,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3504]) ).

cnf(i_0_6283,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_Ozero__class_Ozero(tc_Nat_Onat),X1),hAPP(hAPP(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_Oone__class_Oone(tc_Nat_Onat))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4500,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_5890,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_4120,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837,i_0_3504,i_0_3506]) ).

cnf(i_0_6284,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))),
    inference(rename_variables,[],[i_0_4492]) ).

cnf(i_0_6285,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X1)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_3506]) ).

cnf(i_0_6286,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(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_Int_Oint))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_6201,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4500,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_5890,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_4120,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837,i_0_3504,i_0_3506,i_0_3341]) ).

cnf(i_0_6287,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),X2)),
    inference(rename_variables,[],[i_0_4455]) ).

cnf(i_0_6288,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X4))
    | ~ class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_3341]) ).

cnf(i_0_6289,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(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))),hAPP(hAPP(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_6201,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5295,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4500,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_5890,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_4120,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837,i_0_3504,i_0_3506,i_0_3341,i_0_3220]) ).

cnf(i_0_6290,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(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_4453]) ).

cnf(i_0_6291,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2) != c_Groups_Ozero__class_Ozero(X1)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3220]) ).

cnf(i_0_6292,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(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))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_6201,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5295,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_6252,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4601,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4500,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_5890,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_4120,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837,i_0_3504,i_0_3506,i_0_3341,i_0_3220,i_0_3221]) ).

cnf(i_0_6293,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))),
    inference(rename_variables,[],[i_0_3459]) ).

cnf(i_0_6294,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2) != X1,
    inference(rename_variables,[],[i_0_4601]) ).

cnf(i_0_6295,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2) != c_Groups_Ozero__class_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3221]) ).

cnf(i_0_6296,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Divides_Odiv__class_Odiv(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_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_6201,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5295,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_6252,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4601,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4858,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4500,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_5890,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3831,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_4120,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837,i_0_3504,i_0_3506,i_0_3341,i_0_3220,i_0_3221,i_0_3247]) ).

cnf(i_0_6297,plain,
    c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(rename_variables,[],[i_0_3831]) ).

cnf(i_0_6298,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3))
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2) = c_Groups_Ozero__class_Ozero(X1)
    | X3 != c_Groups_Ozero__class_Ozero(X1)
    | X2 != c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Groups_Oordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_3247]) ).

cnf(i_0_6299,plain,
    ~ c_SEQ_Osubseq(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1))),
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_6201,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5295,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_6252,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4601,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4858,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4500,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_5890,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3831,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_4120,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837,i_0_3504,i_0_3506,i_0_3341,i_0_3220,i_0_3221,i_0_3247,i_0_3668]) ).

cnf(i_0_6300,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(X2,X1)))
    | ~ c_SEQ_Osubseq(X2) ),
    inference(rename_variables,[],[i_0_3668]) ).

cnf(i_0_6301,plain,
    $false,
    inference(scs_inference,[],[i_0_4698,i_0_4452,i_0_4717,i_0_4453,i_0_5134,i_0_4722,i_0_5102,i_0_5443,i_0_5446,i_0_5465,i_0_5480,i_0_5541,i_0_5681,i_0_5728,i_0_5753,i_0_5756,i_0_5792,i_0_5799,i_0_5802,i_0_5815,i_0_5859,i_0_6128,i_0_6195,i_0_6212,i_0_6244,i_0_5106,i_0_5918,i_0_5109,i_0_5112,i_0_5158,i_0_5322,i_0_4455,i_0_5419,i_0_5430,i_0_5544,i_0_5651,i_0_5750,i_0_5829,i_0_5971,i_0_6125,i_0_6158,i_0_6201,i_0_5324,i_0_4724,i_0_5529,i_0_5532,i_0_5535,i_0_5538,i_0_5639,i_0_5672,i_0_5772,i_0_5776,i_0_5780,i_0_5843,i_0_5980,i_0_4711,i_0_5326,i_0_4715,i_0_5689,i_0_5926,i_0_6140,i_0_6144,i_0_6187,i_0_5132,i_0_4699,i_0_5509,i_0_5619,i_0_6238,i_0_5139,i_0_5117,i_0_5144,i_0_5320,i_0_5126,i_0_5119,i_0_5265,i_0_5295,i_0_5155,i_0_3437,i_0_5414,i_0_5438,i_0_5472,i_0_5475,i_0_5688,i_0_5738,i_0_5741,i_0_5796,i_0_5821,i_0_5824,i_0_5872,i_0_5943,i_0_5946,i_0_6219,i_0_3011,i_0_3825,i_0_5665,i_0_5675,i_0_5698,i_0_5816,i_0_5830,i_0_5860,i_0_5865,i_0_5915,i_0_6048,i_0_6050,i_0_6082,i_0_6084,i_0_3735,i_0_5876,i_0_5899,i_0_6038,i_0_6062,i_0_3459,i_0_5594,i_0_5597,i_0_5724,i_0_6139,i_0_6232,i_0_6252,i_0_4358,i_0_5766,i_0_3298,i_0_3177,i_0_5407,i_0_5775,i_0_5805,i_0_5929,i_0_6186,i_0_6196,i_0_6233,i_0_6247,i_0_3743,i_0_3458,i_0_3742,i_0_3721,i_0_2819,i_0_3722,i_0_5354,i_0_4664,i_0_5010,i_0_5307,i_0_4627,i_0_5668,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_5996,i_0_5998,i_0_6000,i_0_6002,i_0_6004,i_0_6006,i_0_6008,i_0_6010,i_0_6012,i_0_6014,i_0_6016,i_0_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_6034,i_0_6036,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6052,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_6078,i_0_6080,i_0_6086,i_0_6088,i_0_6090,i_0_6092,i_0_6094,i_0_6096,i_0_6098,i_0_6100,i_0_6102,i_0_6104,i_0_6106,i_0_6108,i_0_6110,i_0_6114,i_0_6116,i_0_6118,i_0_6120,i_0_4678,i_0_4601,i_0_4645,i_0_5652,i_0_5341,i_0_4765,i_0_4762,i_0_4858,i_0_5046,i_0_4750,i_0_4495,i_0_5352,i_0_6200,i_0_4861,i_0_4932,i_0_4847,i_0_5400,i_0_4535,i_0_4538,i_0_5391,i_0_5583,i_0_4532,i_0_5731,i_0_5176,i_0_5394,i_0_5397,i_0_5628,i_0_4789,i_0_4515,i_0_4855,i_0_5303,i_0_5565,i_0_5622,i_0_4901,i_0_4526,i_0_5677,i_0_5771,i_0_6168,i_0_6176,i_0_4529,i_0_5435,i_0_5763,i_0_5972,i_0_4541,i_0_4544,i_0_4915,i_0_4753,i_0_5734,i_0_5744,i_0_5747,i_0_5879,i_0_4598,i_0_5662,i_0_6178,i_0_6182,i_0_4497,i_0_5642,i_0_5645,i_0_5648,i_0_5655,i_0_5882,i_0_4654,i_0_5526,i_0_4736,i_0_4615,i_0_4500,i_0_4728,i_0_4467,i_0_5555,i_0_5044,i_0_4570,i_0_4747,i_0_5717,i_0_4623,i_0_5382,i_0_5388,i_0_5678,i_0_5707,i_0_5787,i_0_4492,i_0_5558,i_0_5692,i_0_5890,i_0_4739,i_0_5299,i_0_5954,i_0_6169,i_0_4851,i_0_4941,i_0_4953,i_0_4770,i_0_4949,i_0_4832,i_0_5184,i_0_5187,i_0_4917,i_0_4812,i_0_4967,i_0_5037,i_0_4969,i_0_5221,i_0_4049,i_0_4052,i_0_4149,i_0_3831,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_4417,i_0_4060,i_0_4190,i_0_3832,i_0_3696,i_0_5737,i_0_3773,i_0_3774,i_0_3739,i_0_5908,i_0_6177,i_0_6269,i_0_3649,i_0_5483,i_0_5486,i_0_3457,i_0_3010,i_0_5959,i_0_4059,i_0_4148,i_0_4178,i_0_4189,i_0_3673,i_0_5873,i_0_3414,i_0_4030,i_0_4029,i_0_4177,i_0_5098,i_0_5086,i_0_5085,i_0_5083,i_0_5069,i_0_5062,i_0_5056,i_0_5055,i_0_5347,i_0_5095,i_0_5071,i_0_5060,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4024,i_0_4032,i_0_4036,i_0_4040,i_0_4045,i_0_4055,i_0_4058,i_0_4062,i_0_4065,i_0_4068,i_0_4073,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4096,i_0_4098,i_0_4104,i_0_4110,i_0_4113,i_0_4116,i_0_4124,i_0_4128,i_0_4139,i_0_4146,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4174,i_0_4180,i_0_4186,i_0_4192,i_0_3998,i_0_3999,i_0_4009,i_0_4069,i_0_4070,i_0_4112,i_0_4143,i_0_4151,i_0_3768,i_0_4047,i_0_4142,i_0_4169,i_0_4184,i_0_4121,i_0_4122,i_0_4131,i_0_4132,i_0_4133,i_0_4187,i_0_4183,i_0_4023,i_0_4067,i_0_4123,i_0_4125,i_0_4185,i_0_4120,i_0_3760,i_0_4215,i_0_2978,i_0_3495,i_0_3771,i_0_2933,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3551,i_0_3767,i_0_4356,i_0_2854,i_0_2864,i_0_2911,i_0_3120,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3364,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4361,i_0_4364,i_0_4375,i_0_4411,i_0_3625,i_0_2873,i_0_2901,i_0_3068,i_0_3089,i_0_3172,i_0_3311,i_0_3401,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3333,i_0_3424,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3434,i_0_3549,i_0_3606,i_0_3686,i_0_3766,i_0_3248,i_0_3415,i_0_3427,i_0_3624,i_0_3255,i_0_3309,i_0_2937,i_0_3313,i_0_3315,i_0_3118,i_0_4216,i_0_4195,i_0_4197,i_0_4198,i_0_2843,i_0_3017,i_0_3021,i_0_3209,i_0_3332,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3747,i_0_4262,i_0_2895,i_0_3616,i_0_2839,i_0_3588,i_0_2840,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_3190,i_0_3302,i_0_3321,i_0_3655,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,i_0_2942,i_0_2954,i_0_2955,i_0_2956,i_0_3000,i_0_3001,i_0_3007,i_0_3008,i_0_3012,i_0_3013,i_0_3024,i_0_3047,i_0_3060,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3138,i_0_3191,i_0_3196,i_0_3197,i_0_3208,i_0_3217,i_0_3222,i_0_3237,i_0_3246,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3394,i_0_3446,i_0_3451,i_0_3476,i_0_3480,i_0_3514,i_0_3534,i_0_3557,i_0_3561,i_0_3562,i_0_3574,i_0_3674,i_0_3720,i_0_3892,i_0_3893,i_0_3725,i_0_2630,i_0_2646,i_0_2953,i_0_3015,i_0_3025,i_0_3199,i_0_3224,i_0_3659,i_0_3877,i_0_3878,i_0_2645,i_0_3023,i_0_3347,i_0_3353,i_0_3537,i_0_3589,i_0_3661,i_0_3876,i_0_3377,i_0_3516,i_0_2539,i_0_2898,i_0_3376,i_0_3442,i_0_3618,i_0_3662,i_0_3663,i_0_2904,i_0_3235,i_0_3236,i_0_2547,i_0_3443,i_0_2752,i_0_3726,i_0_2542,i_0_3450,i_0_3481,i_0_3518,i_0_3727,i_0_3375,i_0_3596,i_0_3598,i_0_4246,i_0_4196,i_0_4249,i_0_4253,i_0_4266,i_0_4267,i_0_4271,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_4326,i_0_4327,i_0_4330,i_0_4247,i_0_4248,i_0_4250,i_0_4251,i_0_4252,i_0_4254,i_0_4255,i_0_4257,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4263,i_0_4264,i_0_4265,i_0_4268,i_0_4269,i_0_4270,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4280,i_0_4281,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291,i_0_4292,i_0_4293,i_0_4296,i_0_4297,i_0_4298,i_0_4299,i_0_4300,i_0_4301,i_0_4302,i_0_4304,i_0_4305,i_0_4308,i_0_4309,i_0_4310,i_0_2931,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3340,i_0_2620,i_0_2774,i_0_2835,i_0_2859,i_0_3083,i_0_3143,i_0_3211,i_0_3260,i_0_3292,i_0_3352,i_0_3411,i_0_3533,i_0_3640,i_0_3335,i_0_2915,i_0_3098,i_0_3346,i_0_3472,i_0_3637,i_0_3078,i_0_2916,i_0_2920,i_0_3099,i_0_3338,i_0_3507,i_0_2836,i_0_2932,i_0_3104,i_0_2921,i_0_3337,i_0_3339,i_0_3576,i_0_3334,i_0_3336,i_0_3395,i_0_3441,i_0_3585,i_0_2837,i_0_3504,i_0_3506,i_0_3341,i_0_3220,i_0_3221,i_0_3247,i_0_3668,i_0_3676]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW208+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
% 0.17/0.33  % Computer : n003.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Tue May  5 06:27:11 EDT 2026
% 0.17/0.34  % CPUTime    : 
% 0.17/0.35  % start to proof: theBenchmark
% 8.49/5.80  % Version  : CSE_E---1.7
% 8.49/5.80  % Problem  : theBenchmark.p
% 8.49/5.80  % SZS status Theorem for theBenchmark.p
% 8.49/5.80  % SZS output start CNFRefutation
% See solution above
% 63.16/60.50  % Total time : 5.450s
%------------------------------------------------------------------------------